55622400 has 108 divisors (see below), whose sum is σ = 183628872. Its totient is φ = 14827520.

The previous prime is 55622389. The next prime is 55622429. The reversal of 55622400 is 422655.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 17752 + ... + 20648.

Almost surely, 2^55622400 is an apocalyptic number.

55622400 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 55622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91814436).

55622400 is an abundant number, since it is smaller than the sum of its proper divisors (128006472).

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

55622400 is a wasteful number, since it uses less digits than its factorization.

55622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 55622400 is about 7458.0426386553. The cubic root of 55622400 is about 381.7243884232.

The spelling of 55622400 in words is "fifty-five million, six hundred twenty-two thousand, four hundred".