56738940 has 96 divisors (see below), whose sum is σ = 169827840. Its totient is φ = 14112000.

The previous prime is 56738933. The next prime is 56738951. The reversal of 56738940 is 4983765.

It is a happy number.

56738940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 56738892 and 56738901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80590 + ... + 81290.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 2^56738940 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 56738940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

56738940 is an abundant number, since it is smaller than the sum of its proper divisors (113088900).

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

56738940 is a wasteful number, since it uses less digits than its factorization.

56738940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 56738940 is about 7532.5254729075. The cubic root of 56738940 is about 384.2616760246.

The spelling of 56738940 in words is "fifty-six million, seven hundred thirty-eight thousand, nine hundred forty".