56740064 has 48 divisors (see below), whose sum is σ = 116529840. Its totient is φ = 27171840.

The previous prime is 56740049. The next prime is 56740093. The reversal of 56740064 is 46004765.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 56740064.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 77042 + ... + 77774.

It is an arithmetic number, because the mean of its divisors is an integer number (2427705).

Almost surely, 2^56740064 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 56740064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58264920).

56740064 is an abundant number, since it is smaller than the sum of its proper divisors (59789776).

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

56740064 is a wasteful number, since it uses less digits than its factorization.

56740064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 56740064 is about 7532.6000823089. The cubic root of 56740064 is about 384.2642134194.

The spelling of 56740064 in words is "fifty-six million, seven hundred forty thousand, sixty-four".