55633680 has 60 divisors (see below), whose sum is σ = 186838860. Its totient is φ = 14835456.

The previous prime is 55633657. The next prime is 55633723. The reversal of 55633680 is 8633655.

It can be written as a sum of positive squares in 2 ways, for example, as 27373824 + 28259856 = 5232^2 + 5316^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 37915 + ... + 39354.

It is an arithmetic number, because the mean of its divisors is an integer number (3113981).

Almost surely, 2^55633680 is an apocalyptic number.

It is an amenable number.

55633680 is an abundant number, since it is smaller than the sum of its proper divisors (131205180).

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

55633680 is a wasteful number, since it uses less digits than its factorization.

55633680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77288 (or 77279 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 55633680 is about 7458.7988309110. The cubic root of 55633680 is about 381.7501907382.

The spelling of 55633680 in words is "fifty-five million, six hundred thirty-three thousand, six hundred eighty".