336096 has 48 divisors (see below), whose sum is σ = 982800. Its totient is φ = 111744.

The previous prime is 336079. The next prime is 336101. The reversal of 336096 is 690633.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×336096² = 225921042432, 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 unprimeable number.

336096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 670 + ... + 1058.

It is an arithmetic number, because the mean of its divisors is an integer number (20475).

2³³⁶⁰⁹⁶ is an apocalyptic number.

336096 is a gapful number since it is divisible by the number (36) 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 336096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491400).

336096 is an abundant number, since it is smaller than the sum of its proper divisors (646704).

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

336096 is a wasteful number, since it uses less digits than its factorization.

336096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 394 counting only the distinct ones).

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

The square root of 336096 is about 579.7378718007. The cubic root of 336096 is about 69.5271532704.

The spelling of 336096 in words is "three hundred thirty-six thousand, ninety-six".