55363680 has 72 divisors (see below), whose sum is σ = 188933472. Its totient is φ = 14763264.

The previous prime is 55363631. The next prime is 55363703. The reversal of 55363680 is 8636355.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 17784 + ... + 20663.

It is an arithmetic number, because the mean of its divisors is an integer number (2624076).

Almost surely, 2^55363680 is an apocalyptic number.

It is an amenable number.

55363680 is an abundant number, since it is smaller than the sum of its proper divisors (133569792).

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

55363680 is a wasteful number, since it uses less digits than its factorization.

55363680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38468 (or 38457 counting only the distinct ones).

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

The square root of 55363680 is about 7440.6773885178. The cubic root of 55363680 is about 381.1316221206.

It can be divided in two parts, 5536 and 3680, that added together give a square (9216 = 96²).

The spelling of 55363680 in words is "fifty-five million, three hundred sixty-three thousand, six hundred eighty".