56716200 has 168 divisors, whose sum is σ = 198215550. Its totient is φ = 15085440.

The previous prime is 56716193. The next prime is 56716207. The reversal of 56716200 is 261765.

56716200 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 (56716193) and next prime (56716207).

It can be written as a sum of positive squares in 3 ways, for example, as 34644996 + 22071204 = 5886^2 + 4698^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (56716207) 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 41 ways as a sum of consecutive naturals, for example, 145606 + ... + 145994.

Almost surely, 2^56716200 is an apocalyptic number.

56716200 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 56716200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99107775).

56716200 is an abundant number, since it is smaller than the sum of its proper divisors (141499350).

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

56716200 is a wasteful number, since it uses less digits than its factorization.

56716200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 56716200 is about 7531.0158677299. The cubic root of 56716200 is about 384.2103339884.

Adding to 56716200 its reverse (261765), we get a palindrome (56977965).

The spelling of 56716200 in words is "fifty-six million, seven hundred sixteen thousand, two hundred".