56679168 has 144 divisors (see below), whose sum is σ = 185889536. Its totient is φ = 14929920.

The previous prime is 56679167. The next prime is 56679169. The reversal of 56679168 is 86197665.

It is an interprime number because it is at equal distance from previous prime (56679167) and next prime (56679169).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (56679163) 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, 69483 + ... + 70293.

Almost surely, 2^56679168 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 56679168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92944768).

56679168 is an abundant number, since it is smaller than the sum of its proper divisors (129210368).

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

56679168 is a wasteful number, since it uses less digits than its factorization.

56679168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 836 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 56679168 is about 7528.5568338162. The cubic root of 56679168 is about 384.1266943059.

The spelling of 56679168 in words is "fifty-six million, six hundred seventy-nine thousand, one hundred sixty-eight".