56617260 has 96 divisors (see below), whose sum is σ = 189084672. Its totient is φ = 12376320.

The previous prime is 56617241. The next prime is 56617307. The reversal of 56617260 is 6271665.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6730 + ... + 12590.

It is an arithmetic number, because the mean of its divisors is an integer number (1969632).

Almost surely, 2^56617260 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 56617260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94542336).

56617260 is an abundant number, since it is smaller than the sum of its proper divisors (132467412).

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

56617260 is a wasteful number, since it uses less digits than its factorization.

56617260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5903 (or 5901 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 56617260 is about 7524.4441655181. Note that the first 3 decimals coincide. The cubic root of 56617260 is about 383.9867888250.

Subtracting from 56617260 its reverse (6271665), we obtain a triangular number (50345595 = T₁₀₀₃₄).

It can be divided in two parts, 5661 and 7260, that added together give a palindrome (12921).

The spelling of 56617260 in words is "fifty-six million, six hundred seventeen thousand, two hundred sixty".