55868960 has 96 divisors (see below), whose sum is σ = 152917632. Its totient is φ = 18892800.

The previous prime is 55868959. The next prime is 55868963. The reversal of 55868960 is 6986855.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (55868963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92660 + ... + 93260.

It is an arithmetic number, because the mean of its divisors is an integer number (1592892).

Almost surely, 2^55868960 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 55868960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76458816).

55868960 is an abundant number, since it is smaller than the sum of its proper divisors (97048672).

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

55868960 is a wasteful number, since it uses less digits than its factorization.

55868960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 47.

The square root of 55868960 is about 7474.5541673066. The cubic root of 55868960 is about 382.2875862214.

The spelling of 55868960 in words is "fifty-five million, eight hundred sixty-eight thousand, nine hundred sixty".