56744064 has 160 divisors (see below), whose sum is σ = 182291340. Its totient is φ = 17418240.

The previous prime is 56744053. The next prime is 56744071. The reversal of 56744064 is 46044765.

It can be written as a sum of positive squares in 2 ways, for example, as 41062464 + 15681600 = 6408^2 + 3960^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134574 + ... + 134994.

Almost surely, 2^56744064 is an apocalyptic number.

56744064 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 56744064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91145670).

56744064 is an abundant number, since it is smaller than the sum of its proper divisors (125547276).

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

56744064 is a wasteful number, since it uses less digits than its factorization.

56744064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 56744064 is about 7532.8655901987. The cubic root of 56744064 is about 384.2732430222.

The spelling of 56744064 in words is "fifty-six million, seven hundred forty-four thousand, sixty-four".