55705968 has 100 divisors (see below), whose sum is σ = 164473848. Its totient is φ = 18195840.

The previous prime is 55705939. The next prime is 55705973. The reversal of 55705968 is 86950755.

55705968 is a `hidden beast` number, since 5 + 57 + 0 + 596 + 8 = 666.

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, 68283 + ... + 69093.

Almost surely, 2^55705968 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 55705968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82236924).

55705968 is an abundant number, since it is smaller than the sum of its proper divisors (108767880).

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

55705968 is a wasteful number, since it uses less digits than its factorization.

55705968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 55705968 is about 7463.6430782829. The cubic root of 55705968 is about 381.9154624110.

The spelling of 55705968 in words is "fifty-five million, seven hundred five thousand, nine hundred sixty-eight".