56610400 has 144 divisors (see below), whose sum is σ = 172488960. Its totient is φ = 17625600.

The previous prime is 56610347. The next prime is 56610409. The reversal of 56610400 is 401665.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56610409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61141 + ... + 62059.

It is an arithmetic number, because the mean of its divisors is an integer number (1197840).

Almost surely, 2^56610400 is an apocalyptic number.

56610400 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 56610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86244480).

56610400 is an abundant number, since it is smaller than the sum of its proper divisors (115878560).

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

56610400 is a wasteful number, since it uses less digits than its factorization.

56610400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 56610400 is about 7523.9883040845. The cubic root of 56610400 is about 383.9712796807.

The spelling of 56610400 in words is "fifty-six million, six hundred ten thousand, four hundred".