36464256 has 80 divisors (see below), whose sum is σ = 108547890. Its totient is φ = 12151296.

The previous prime is 36464237. The next prime is 36464257. The reversal of 36464256 is 65246463.

36464256 is a `hidden beast` number, since 3 + 6 + 4 + 642 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21902400 + 14561856 = 4680^2 + 3816^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 36464256.

It is not an unprimeable number, because it can be changed into a prime (36464257) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8610 + ... + 12126.

Almost surely, 2^36464256 is an apocalyptic number.

36464256 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 36464256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54273945).

36464256 is an abundant number, since it is smaller than the sum of its proper divisors (72083634).

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

36464256 is an equidigital number, since it uses as much as digits as its factorization.

36464256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3522 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 36464256 is about 6038.5640677234. The cubic root of 36464256 is about 331.6060552131.

It can be divided in two parts, 364 and 64256, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 36464256 in words is "thirty-six million, four hundred sixty-four thousand, two hundred fifty-six".