55993680 has 100 divisors (see below), whose sum is σ = 194496852. Its totient is φ = 14929920.

The previous prime is 55993673. The next prime is 55993711. The reversal of 55993680 is 8639955.

55993680 is a `hidden beast` number, since 559 + 93 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8714304 + 47279376 = 2952^2 + 6876^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2160 + ... + 10800.

Almost surely, 2^55993680 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 55993680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97248426).

55993680 is an abundant number, since it is smaller than the sum of its proper divisors (138503172).

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

55993680 is a wasteful number, since it uses less digits than its factorization.

55993680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8666 (or 8651 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 55993680 is about 7482.8924888709. The cubic root of 55993680 is about 382.5718434832.

The spelling of 55993680 in words is "fifty-five million, nine hundred ninety-three thousand, six hundred eighty".