56643456 has 64 divisors (see below), whose sum is σ = 159328080. Its totient is φ = 17768448.

The previous prime is 56643451. The next prime is 56643463. The reversal of 56643456 is 65434665.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×56643456² = 6416962215247872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56643451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2190 + ... + 10866.

Almost surely, 2^56643456 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 56643456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79664040).

56643456 is an abundant number, since it is smaller than the sum of its proper divisors (102684624).

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

56643456 is a wasteful number, since it uses less digits than its factorization.

56643456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8711 (or 8699 counting only the distinct ones).

The product of its digits is 259200, while the sum is 39.

The square root of 56643456 is about 7526.1846907979. The cubic root of 56643456 is about 384.0460014335.

The spelling of 56643456 in words is "fifty-six million, six hundred forty-three thousand, four hundred fifty-six".