336840 has 64 divisors (see below), whose sum is σ = 1157760. Its totient is φ = 76800.

The previous prime is 336829. The next prime is 336857. The reversal of 336840 is 48633.

336840 = T₆₁ + T₆₂ + ... + T₁₃₀.

It is a super-2 number, since 2×336840² = 226922371200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 336840.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640 + ... + 1040.

It is an arithmetic number, because the mean of its divisors is an integer number (18090).

2³³⁶⁸⁴⁰ is an apocalyptic number.

336840 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 336840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578880).

336840 is an abundant number, since it is smaller than the sum of its proper divisors (820920).

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

336840 is a wasteful number, since it uses less digits than its factorization.

336840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 336840 is about 580.3791863946. The cubic root of 336840 is about 69.5784184639.

It can be divided in two parts, 336 and 840, that added together give a triangular number (1176 = T₄₈).

The spelling of 336840 in words is "three hundred thirty-six thousand, eight hundred forty".