53664256 has 40 divisors (see below), whose sum is σ = 107893764. Its totient is φ = 26664960.

The previous prime is 53664251. The next prime is 53664269. The reversal of 53664256 is 65246635.

53664256 = T₃₃₉ + T₃₄₀ + ... + T₇₁₁.

It can be written as a sum of positive squares in 2 ways, for example, as 52998400 + 665856 = 7280^2 + 816^2 .

It is not an unprimeable number, because it can be changed into a prime (53664251) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 143686 + ... + 144058.

Almost surely, 2^53664256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53664256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53946882).

53664256 is an abundant number, since it is smaller than the sum of its proper divisors (54229508).

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

53664256 is an equidigital number, since it uses as much as digits as its factorization.

53664256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 656 counting only the distinct ones).

The product of its digits is 129600, while the sum is 37.

The square root of 53664256 is about 7325.5891230672. The cubic root of 53664256 is about 377.1913322623.

The spelling of 53664256 in words is "fifty-three million, six hundred sixty-four thousand, two hundred fifty-six".