55630080 has 216 divisors, whose sum is σ = 210450240. Its totient is φ = 13455360.

The previous prime is 55630079. The next prime is 55630111. The reversal of 55630080 is 8003655.

55630080 is a `hidden beast` number, since 556 + 30 + 0 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126501 + ... + 126939.

Almost surely, 2^55630080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105225120).

55630080 is an abundant number, since it is smaller than the sum of its proper divisors (154820160).

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

55630080 is a wasteful number, since it uses less digits than its factorization.

55630080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 460 counting only the distinct ones).

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

The square root of 55630080 is about 7458.5575012867. The cubic root of 55630080 is about 381.7419563358.

The spelling of 55630080 in words is "fifty-five million, six hundred thirty thousand, eighty".