56754432 has 360 divisors, whose sum is σ = 213687936. Its totient is φ = 14598144.

The previous prime is 56754431. The next prime is 56754437. The reversal of 56754432 is 23445765.

56754432 is a `hidden beast` number, since 567 + 54 + 43 + 2 = 666.

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

Its product of digits (100800) is a multiple of the sum of its prime factors (75).

It is not an unprimeable number, because it can be changed into a prime (56754431) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2467573 + ... + 2467595.

Almost surely, 2^56754432 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 56754432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106843968).

56754432 is an abundant number, since it is smaller than the sum of its proper divisors (156933504).

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

56754432 is a wasteful number, since it uses less digits than its factorization.

56754432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 52 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 56754432 is about 7533.5537430883. The cubic root of 56754432 is about 384.2966457777.

The spelling of 56754432 in words is "fifty-six million, seven hundred fifty-four thousand, four hundred thirty-two".