56277600 has 144 divisors (see below), whose sum is σ = 185613120. Its totient is φ = 14809600.

The previous prime is 56277593. The next prime is 56277607. The reversal of 56277600 is 677265.

56277600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56277593) and next prime (56277607).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56277607) 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 23 ways as a sum of consecutive naturals, for example, 314311 + ... + 314489.

It is an arithmetic number, because the mean of its divisors is an integer number (1288980).

Almost surely, 2^56277600 is an apocalyptic number.

56277600 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 56277600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92806560).

56277600 is an abundant number, since it is smaller than the sum of its proper divisors (129335520).

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

56277600 is a wasteful number, since it uses less digits than its factorization.

56277600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 56277600 is about 7501.8397743487. The cubic root of 56277600 is about 383.2173730325.

The spelling of 56277600 in words is "fifty-six million, two hundred seventy-seven thousand, six hundred".