55917968 has 80 divisors (see below), whose sum is σ = 119563776. Its totient is φ = 25259520.

The previous prime is 55917949. The next prime is 55918001. The reversal of 55917968 is 86971955.

It is a happy number.

55917968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 916658 + ... + 916718.

Almost surely, 2^55917968 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 55917968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59781888).

55917968 is an abundant number, since it is smaller than the sum of its proper divisors (63645808).

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

55917968 is a wasteful number, since it uses less digits than its factorization.

55917968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its digits is 680400, while the sum is 50.

The square root of 55917968 is about 7477.8317713091. The cubic root of 55917968 is about 382.3993338690.

The spelling of 55917968 in words is "fifty-five million, nine hundred seventeen thousand, nine hundred sixty-eight".