56558656 has 112 divisors (see below), whose sum is σ = 146304000. Its totient is φ = 21035520.

The previous prime is 56558641. The next prime is 56558657. The reversal of 56558656 is 65685565.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56558657) 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, 113095 + ... + 113593.

Almost surely, 2^56558656 is an apocalyptic number.

56558656 is a gapful number since it is divisible by the number (56) 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 56558656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73152000).

56558656 is an abundant number, since it is smaller than the sum of its proper divisors (89745344).

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

56558656 is a wasteful number, since it uses less digits than its factorization.

56558656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 542 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 46.

The square root of 56558656 is about 7520.5489161364. The cubic root of 56558656 is about 383.8542560337.

The spelling of 56558656 in words is "fifty-six million, five hundred fifty-eight thousand, six hundred fifty-six".