56952000 has 336 divisors, whose sum is σ = 234891072. Its totient is φ = 12902400.

The previous prime is 56951977. The next prime is 56952017. The reversal of 56952000 is 25965.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503944 + ... + 504056.

Almost surely, 2^56952000 is an apocalyptic number.

56952000 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 56952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117445536).

56952000 is an abundant number, since it is smaller than the sum of its proper divisors (177939072).

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

56952000 is a wasteful number, since it uses less digits than its factorization.

56952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 56952000 is about 7546.6548880945. The cubic root of 56952000 is about 384.7420546879.

Adding to 56952000 its reverse (25965), we get a palindrome (56977965).

The spelling of 56952000 in words is "fifty-six million, nine hundred fifty-two thousand".