55638000 has 240 divisors, whose sum is σ = 212745312. Its totient is φ = 13440000.

The previous prime is 55637999. The next prime is 55638013. The reversal of 55638000 is 83655.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197860 + ... + 198140.

Almost surely, 2^55638000 is an apocalyptic number.

55638000 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 55638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106372656).

55638000 is an abundant number, since it is smaller than the sum of its proper divisors (157107312).

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

55638000 is a wasteful number, since it uses less digits than its factorization.

55638000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 55638000 is about 7459.0884161538. The cubic root of 55638000 is about 381.7600715522.

The spelling of 55638000 in words is "fifty-five million, six hundred thirty-eight thousand".