55682400 has 72 divisors (see below), whose sum is σ = 181254024. Its totient is φ = 14848000.

The previous prime is 55682381. The next prime is 55682413. The reversal of 55682400 is 428655.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9201 + ... + 14000.

It is an arithmetic number, because the mean of its divisors is an integer number (2517417).

Almost surely, 2^55682400 is an apocalyptic number.

55682400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55682400 is an abundant number, since it is smaller than the sum of its proper divisors (125571624).

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

55682400 is a wasteful number, since it uses less digits than its factorization.

55682400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23224 (or 23211 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 55682400 is about 7462.0640576184. The cubic root of 55682400 is about 381.8615947339.

The spelling of 55682400 in words is "fifty-five million, six hundred eighty-two thousand, four hundred".