336960 has 140 divisors (see below), whose sum is σ = 1290828. Its totient is φ = 82944.

The previous prime is 336929. The next prime is 336961. The reversal of 336960 is 69633.

It can be written as a sum of positive squares in 2 ways, for example, as 82944 + 254016 = 288^2 + 504^2 .

It is a super-2 number, since 2×336960² = 227084083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 336960.

It is not an unprimeable number, because it can be changed into a prime (336961) by changing a digit.

336960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25914 + ... + 25926.

336960 is a Friedman number, since it can be written as 9360*36, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 360 ⋅ 936 (with its own digits).

2³³⁶⁹⁶⁰ is an apocalyptic number.

336960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645414).

336960 is an abundant number, since it is smaller than the sum of its proper divisors (953868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

336960 is a wasteful number, since it uses less digits than its factorization.

336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 336960 is about 580.4825578775. The cubic root of 336960 is about 69.5866799718.

It can be divided in two parts, 336 and 960, that added together give a 4-th power (1296 = 6⁴).

The spelling of 336960 in words is "three hundred thirty-six thousand, nine hundred sixty".