56973312 has 144 divisors (see below), whose sum is σ = 180147240. Its totient is φ = 17203200.

The previous prime is 56973289. The next prime is 56973331. The reversal of 56973312 is 21337965.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202612 + ... + 202892.

Almost surely, 2^56973312 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 56973312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90073620).

56973312 is an abundant number, since it is smaller than the sum of its proper divisors (123173928).

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

56973312 is a wasteful number, since it uses less digits than its factorization.

56973312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 297 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 56973312 is about 7548.0667723597. The cubic root of 56973312 is about 384.7900401264.

It can be divided in two parts, 5697 and 3312, that added together give a palindrome (9009).

The spelling of 56973312 in words is "fifty-six million, nine hundred seventy-three thousand, three hundred twelve".