56953900 has 36 divisors (see below), whose sum is σ = 124835760. Its totient is φ = 22552000.

The previous prime is 56953891. The next prime is 56953901. The reversal of 56953900 is 935965.

It is a self number, because there is not a number n which added to its sum of digits gives 56953900.

It is not an unprimeable number, because it can be changed into a prime (56953901) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7281 + ... + 12919.

It is an arithmetic number, because the mean of its divisors is an integer number (3467660).

Almost surely, 2^56953900 is an apocalyptic number.

56953900 is a gapful number since it is divisible by the number (50) 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 56953900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62417880).

56953900 is an abundant number, since it is smaller than the sum of its proper divisors (67881860).

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

56953900 is a wasteful number, since it uses less digits than its factorization.

56953900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5754 (or 5747 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 37.

The square root of 56953900 is about 7546.7807706333. The cubic root of 56953900 is about 384.7463331550.

The spelling of 56953900 in words is "fifty-six million, nine hundred fifty-three thousand, nine hundred".