56959200 has 216 divisors, whose sum is σ = 209002248. Its totient is φ = 15137280.

The previous prime is 56959187. The next prime is 56959213. The reversal of 56959200 is 295965.

56959200 is a `hidden beast` number, since 5 + 69 + 592 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56959187) and next prime (56959213).

It is a tau number, because it is divible by the number of its divisors (216).

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 35 ways as a sum of consecutive naturals, for example, 194254 + ... + 194546.

It is an arithmetic number, because the mean of its divisors is an integer number (967603).

Almost surely, 2^56959200 is an apocalyptic number.

56959200 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 56959200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104501124).

56959200 is an abundant number, since it is smaller than the sum of its proper divisors (152043048).

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

56959200 is a wasteful number, since it uses less digits than its factorization.

56959200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 56959200 is about 7547.1319055652. The cubic root of 56959200 is about 384.7582673235.

The spelling of 56959200 in words is "fifty-six million, nine hundred fifty-nine thousand, two hundred".