56851600 has 135 divisors (see below), whose sum is σ = 153176673. Its totient is φ = 20267520.

The previous prime is 56851589. The next prime is 56851609. The reversal of 56851600 is 615865.

56851600 = T₇₅ + T₇₆ + ... + T₆₉₈.

The square root of 56851600 is 7540.

It is a perfect power (a square), and thus also a powerful number.

56851600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 52591504 + 4260096 = 7252^2 + 2064^2 .

It is not an unprimeable number, because it can be changed into a prime (56851609) 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 26 ways as a sum of consecutive naturals, for example, 1960386 + ... + 1960414.

Almost surely, 2^56851600 is an apocalyptic number.

56851600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56851600 is the 7540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56851600

56851600 is an abundant number, since it is smaller than the sum of its proper divisors (96325073).

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

56851600 is a wasteful number, since it uses less digits than its factorization.

56851600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The cubic root of 56851600 is about 384.5158359800.

The spelling of 56851600 in words is "fifty-six million, eight hundred fifty-one thousand, six hundred".