55645800 has 96 divisors (see below), whose sum is σ = 197160000. Its totient is φ = 12718080.

The previous prime is 55645781. The next prime is 55645801. The reversal of 55645800 is 854655.

It is not an unprimeable number, because it can be changed into a prime (55645801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2425 + ... + 10824.

It is an arithmetic number, because the mean of its divisors is an integer number (2053750).

Almost surely, 2^55645800 is an apocalyptic number.

55645800 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 55645800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98580000).

55645800 is an abundant number, since it is smaller than the sum of its proper divisors (141514200).

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

55645800 is a wasteful number, since it uses less digits than its factorization.

55645800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13275 (or 13266 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 55645800 is about 7459.6112499245. The cubic root of 55645800 is about 381.7779106156. Note that the first 3 decimals are identical.

The spelling of 55645800 in words is "fifty-five million, six hundred forty-five thousand, eight hundred".