55939680 has 192 divisors, whose sum is σ = 204664320. Its totient is φ = 14243328.

The previous prime is 55939661. The next prime is 55939711. The reversal of 55939680 is 8693955.

55939680 is a `hidden beast` number, since 559 + 3 + 96 + 8 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99079 + ... + 99641.

It is an arithmetic number, because the mean of its divisors is an integer number (1065960).

Almost surely, 2^55939680 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 55939680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102332160).

55939680 is an abundant number, since it is smaller than the sum of its proper divisors (148724640).

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

55939680 is a wasteful number, since it uses less digits than its factorization.

55939680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 596 counting only the distinct ones).

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

The square root of 55939680 is about 7479.2833881328. The cubic root of 55939680 is about 382.4488205264.

The spelling of 55939680 in words is "fifty-five million, nine hundred thirty-nine thousand, six hundred eighty".