56675800 has 48 divisors (see below), whose sum is σ = 132413400. Its totient is φ = 22560000.

The previous prime is 56675791. The next prime is 56675809. The reversal of 56675800 is 857665.

56675800 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 (56675791) and next prime (56675809).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 56675800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56675809) 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 11 ways as a sum of consecutive naturals, for example, 49636 + ... + 50764.

Almost surely, 2^56675800 is an apocalyptic number.

56675800 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 56675800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66206700).

56675800 is an abundant number, since it is smaller than the sum of its proper divisors (75737600).

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

56675800 is a wasteful number, since it uses less digits than its factorization.

56675800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 56675800 is about 7528.3331488451. Note that the first 3 decimals coincide. The cubic root of 56675800 is about 384.1190856060.

It can be divided in two parts, 56675 and 800, that added together give a palindrome (57475).

The spelling of 56675800 in words is "fifty-six million, six hundred seventy-five thousand, eight hundred".