55953968 has 40 divisors (see below), whose sum is σ = 124634880. Its totient is φ = 23837760.

The previous prime is 55953967. The next prime is 55953973. The reversal of 55953968 is 86935955.

It is not an unprimeable number, because it can be changed into a prime (55953967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18653 + ... + 21443.

It is an arithmetic number, because the mean of its divisors is an integer number (3115872).

Almost surely, 2^55953968 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 55953968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62317440).

55953968 is an abundant number, since it is smaller than the sum of its proper divisors (68680912).

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

55953968 is a wasteful number, since it uses less digits than its factorization.

55953968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985 (or 2979 counting only the distinct ones).

The product of its digits is 1458000, while the sum is 50.

The square root of 55953968 is about 7480.2384988715. The cubic root of 55953968 is about 382.4813791895.

The spelling of 55953968 in words is "fifty-five million, nine hundred fifty-three thousand, nine hundred sixty-eight".