56977344 has 140 divisors (see below), whose sum is σ = 175183800. Its totient is φ = 18289152.

The previous prime is 56977343. The next prime is 56977357. The reversal of 56977344 is 44377965.

56977344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (635040) is a multiple of the sum of its prime factors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 56977344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56977343) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 150147 + ... + 150525.

Almost surely, 2^56977344 is an apocalyptic number.

56977344 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 56977344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87591900).

56977344 is an abundant number, since it is smaller than the sum of its proper divisors (118206456).

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

56977344 is a wasteful number, since it uses less digits than its factorization.

56977344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 413 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 56977344 is about 7548.3338558916. Note that the first 3 decimals coincide. The cubic root of 56977344 is about 384.7991171064.

It can be divided in two parts, 5697 and 7344, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 56977344 in words is "fifty-six million, nine hundred seventy-seven thousand, three hundred forty-four".