336528 has 80 divisors (see below), whose sum is σ = 1041600. Its totient is φ = 103680.

The previous prime is 336527. The next prime is 336529. The reversal of 336528 is 825633.

336528 is a `hidden beast` number, since 3 + 3 + 652 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (336527) and next prime (336529).

It is a super-2 number, since 2×336528² = 226502189568, 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 336528.

It is not an unprimeable number, because it can be changed into a prime (336521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8188 + ... + 8228.

It is an arithmetic number, because the mean of its divisors is an integer number (13020).

2³³⁶⁵²⁸ is an apocalyptic number.

336528 is a gapful number since it is divisible by the number (38) 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 336528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520800).

336528 is an abundant number, since it is smaller than the sum of its proper divisors (705072).

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

336528 is a wasteful number, since it uses less digits than its factorization.

336528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 65 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 336528 is about 580.1103343330. The cubic root of 336528 is about 69.5569293568.

It can be divided in two parts, 33 and 6528, that added together give a 8-th power (6561 = 3⁸).

The spelling of 336528 in words is "three hundred thirty-six thousand, five hundred twenty-eight".