55595800 has 48 divisors (see below), whose sum is σ = 139209840. Its totient is φ = 20526720.

The previous prime is 55595791. The next prime is 55595801. The reversal of 55595800 is 859555.

55595800 = 410² + 411² + ... + 617².

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 55595800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55595801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8092 + ... + 13291.

It is an arithmetic number, because the mean of its divisors is an integer number (2900205).

Almost surely, 2^55595800 is an apocalyptic number.

55595800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55595800 is an abundant number, since it is smaller than the sum of its proper divisors (83614040).

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

55595800 is a wasteful number, since it uses less digits than its factorization.

55595800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21412 (or 21403 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 37.

The square root of 55595800 is about 7456.2591156692. The cubic root of 55595800 is about 381.6635287229.

The spelling of 55595800 in words is "fifty-five million, five hundred ninety-five thousand, eight hundred".