56417064 has 64 divisors (see below), whose sum is σ = 159192000. Its totient is φ = 16504320.

The previous prime is 56417063. The next prime is 56417111. The reversal of 56417064 is 46071465.

It is a super-2 number, since 2×56417064² = 6365770220760192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (56417063) 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, 3972 + ... + 11340.

It is an arithmetic number, because the mean of its divisors is an integer number (2487375).

Almost surely, 2^56417064 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 56417064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79596000).

56417064 is an abundant number, since it is smaller than the sum of its proper divisors (102774936).

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

56417064 is a wasteful number, since it uses less digits than its factorization.

56417064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7418 (or 7414 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 56417064 is about 7511.1293425157. The cubic root of 56417064 is about 383.5336678534.

The spelling of 56417064 in words is "fifty-six million, four hundred seventeen thousand, sixty-four".