56160456 has 96 divisors (see below), whose sum is σ = 156854880. Its totient is φ = 16741120.

The previous prime is 56160407. The next prime is 56160463. The reversal of 56160456 is 65406165.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240916 + ... + 241148.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905).

Almost surely, 2^56160456 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 56160456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78427440).

56160456 is an abundant number, since it is smaller than the sum of its proper divisors (100694424).

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

56160456 is a wasteful number, since it uses less digits than its factorization.

56160456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 56160456 is about 7494.0280223655. The cubic root of 56160456 is about 382.9512944038.

It can be divided in two parts, 56160 and 456, that added together give a triangular number (56616 = T₃₃₆).

The spelling of 56160456 in words is "fifty-six million, one hundred sixty thousand, four hundred fifty-six".