55855968 has 96 divisors (see below), whose sum is σ = 171553536. Its totient is φ = 15579648.

The previous prime is 55855963. The next prime is 55855979. The reversal of 55855968 is 86955855.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×55855968² = 6239778322434048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55855968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55855963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27930 + ... + 29862.

It is an arithmetic number, because the mean of its divisors is an integer number (1787016).

Almost surely, 2^55855968 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 55855968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85776768).

55855968 is an abundant number, since it is smaller than the sum of its proper divisors (115697568).

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

55855968 is a wasteful number, since it uses less digits than its factorization.

55855968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1988 counting only the distinct ones).

The product of its digits is 2160000, while the sum is 51.

The square root of 55855968 is about 7473.6850348406. The cubic root of 55855968 is about 382.2579510098.

The spelling of 55855968 in words is "fifty-five million, eight hundred fifty-five thousand, nine hundred sixty-eight".