56387600 has 60 divisors (see below), whose sum is σ = 140171460. Its totient is φ = 21772800.

The previous prime is 56387579. The next prime is 56387633. The reversal of 56387600 is 678365.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 795664 + 55591936 = 892^2 + 7456^2 .

It is a super-2 number, since 2×56387600² = 6359122867520000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9170 + ... + 14030.

It is an arithmetic number, because the mean of its divisors is an integer number (2336191).

Almost surely, 2^56387600 is an apocalyptic number.

56387600 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 56387600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70085730).

56387600 is an abundant number, since it is smaller than the sum of its proper divisors (83783860).

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

56387600 is a wasteful number, since it uses less digits than its factorization.

56387600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4908 (or 4897 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 56387600 is about 7509.1677301816. The cubic root of 56387600 is about 383.4668889808.

The spelling of 56387600 in words is "fifty-six million, three hundred eighty-seven thousand, six hundred".