56666688 has 112 divisors (see below), whose sum is σ = 164201856. Its totient is φ = 17141760.

The previous prime is 56666681. The next prime is 56666689. The reversal of 56666688 is 88666665.

It is a super-2 number, since 2×56666688² = 6422227057778688, which contains 22 as substring.

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 56666688.

It is not an unprimeable number, because it can be changed into a prime (56666681) 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, 182053 + ... + 182363.

It is an arithmetic number, because the mean of its divisors is an integer number (1466088).

Almost surely, 2^56666688 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 56666688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82100928).

56666688 is an abundant number, since it is smaller than the sum of its proper divisors (107535168).

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

56666688 is a wasteful number, since it uses less digits than its factorization.

56666688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 402 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 56666688 is about 7527.7279440745. The cubic root of 56666688 is about 384.0984990376.

The spelling of 56666688 in words is "fifty-six million, six hundred sixty-six thousand, six hundred eighty-eight".