56668320 has 288 divisors, whose sum is σ = 212284800. Its totient is φ = 13719552.

The previous prime is 56668319. The next prime is 56668321. The reversal of 56668320 is 2386665.

It is an interprime number because it is at equal distance from previous prime (56668319) and next prime (56668321).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×56668320² = 6422596983244800, 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 (56668321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 960451 + ... + 960509.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 2^56668320 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 56668320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106142400).

56668320 is an abundant number, since it is smaller than the sum of its proper divisors (155616480).

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

56668320 is a wasteful number, since it uses less digits than its factorization.

56668320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 56668320 is about 7527.8363425356. The cubic root of 56668320 is about 384.1021863464.

It can be divided in two parts, 566 and 68320, that added together give a palindrome (68886).

The spelling of 56668320 in words is "fifty-six million, six hundred sixty-eight thousand, three hundred twenty".