56743680 has 144 divisors (see below), whose sum is σ = 207212544. Its totient is φ = 12963840.

The previous prime is 56743679. The next prime is 56743693. The reversal of 56743680 is 8634765.

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 15 ways as a sum of consecutive naturals, for example, 25825 + ... + 27935.

It is an arithmetic number, because the mean of its divisors is an integer number (1438976).

Almost surely, 2^56743680 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 56743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103606272).

56743680 is an abundant number, since it is smaller than the sum of its proper divisors (150468864).

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

56743680 is a wasteful number, since it uses less digits than its factorization.

56743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 56743680 is about 7532.8401018474. The cubic root of 56743680 is about 384.2723761988.

The spelling of 56743680 in words is "fifty-six million, seven hundred forty-three thousand, six hundred eighty".