56045664 has 72 divisors (see below), whose sum is σ = 166329072. Its totient is φ = 17867520.

The previous prime is 56045663. The next prime is 56045669. The reversal of 56045664 is 46654065.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×56045664² = 6282232906401792, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56045663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2394 + ... + 10854.

It is an arithmetic number, because the mean of its divisors is an integer number (2310126).

Almost surely, 2^56045664 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 56045664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83164536).

56045664 is an abundant number, since it is smaller than the sum of its proper divisors (110283408).

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

56045664 is a wasteful number, since it uses less digits than its factorization.

56045664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8500 (or 8489 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 56045664 is about 7486.3652061598. The cubic root of 56045664 is about 382.6901988844.

The spelling of 56045664 in words is "fifty-six million, forty-five thousand, six hundred sixty-four".