56819664 has 120 divisors (see below), whose sum is σ = 179432960. Its totient is φ = 17202240.

The previous prime is 56819599. The next prime is 56819669. The reversal of 56819664 is 46691865.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56819669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51729 + ... + 52815.

Almost surely, 2^56819664 is an apocalyptic number.

56819664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56819664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89716480).

56819664 is an abundant number, since it is smaller than the sum of its proper divisors (122613296).

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

56819664 is a wasteful number, since it uses less digits than its factorization.

56819664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1103 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 56819664 is about 7537.8819306222. The cubic root of 56819664 is about 384.4438227746.

The spelling of 56819664 in words is "fifty-six million, eight hundred nineteen thousand, six hundred sixty-four".