55885968 has 60 divisors (see below), whose sum is σ = 158054988. Its totient is φ = 18432000.

The previous prime is 55885967. The next prime is 55885979. The reversal of 55885968 is 86958855.

55885968 is a `hidden beast` number, since 5 + 588 + 59 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11370384 + 44515584 = 3372^2 + 6672^2 .

It is not an unprimeable number, because it can be changed into a prime (55885967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11968 + ... + 15968.

Almost surely, 2^55885968 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 55885968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79027494).

55885968 is an abundant number, since it is smaller than the sum of its proper divisors (102169020).

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

55885968 is a wasteful number, since it uses less digits than its factorization.

55885968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4112 (or 4103 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 54.

The square root of 55885968 is about 7475.6918074517. The cubic root of 55885968 is about 382.3263751279.

The spelling of 55885968 in words is "fifty-five million, eight hundred eighty-five thousand, nine hundred sixty-eight".