56406672 has 160 divisors (see below), whose sum is σ = 193320960. Its totient is φ = 15396480.

The previous prime is 56406667. The next prime is 56406673. The reversal of 56406672 is 27660465.

56406672 is a `hidden beast` number, since 5 + 640 + 6 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×56406672² = 6363425292231168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (56406673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69147 + ... + 69957.

It is an arithmetic number, because the mean of its divisors is an integer number (1208256).

Almost surely, 2^56406672 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 56406672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96660480).

56406672 is an abundant number, since it is smaller than the sum of its proper divisors (136914288).

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

56406672 is a wasteful number, since it uses less digits than its factorization.

56406672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 56406672 is about 7510.4375371878. The cubic root of 56406672 is about 383.5101174927.

The spelling of 56406672 in words is "fifty-six million, four hundred six thousand, six hundred seventy-two".