55632000 has 256 divisors, whose sum is σ = 197308800. Its totient is φ = 13824000.

The previous prime is 55631993. The next prime is 55632077. The reversal of 55632000 is 23655.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 911970 + ... + 912030.

Almost surely, 2^55632000 is an apocalyptic number.

55632000 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 55632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98654400).

55632000 is an abundant number, since it is smaller than the sum of its proper divisors (141676800).

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

55632000 is a wasteful number, since it uses less digits than its factorization.

55632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 55632000 is about 7458.6862113914. The cubic root of 55632000 is about 381.7463480613.

Adding to 55632000 its reverse (23655), we get a palindrome (55655655).

The spelling of 55632000 in words is "fifty-five million, six hundred thirty-two thousand".