56506008 has 64 divisors (see below), whose sum is σ = 154677600. Its totient is φ = 17095680.

The previous prime is 56506001. The next prime is 56506031. The reversal of 56506008 is 80060565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56506001) 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, 17548 + ... + 20516.

Almost surely, 2^56506008 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 56506008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77338800).

56506008 is an abundant number, since it is smaller than the sum of its proper divisors (98171592).

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

56506008 is a wasteful number, since it uses less digits than its factorization.

56506008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 56506008 is about 7517.0478247780. The cubic root of 56506008 is about 383.7351146316.

The spelling of 56506008 in words is "fifty-six million, five hundred six thousand, eight".