55968672 has 24 divisors (see below), whose sum is σ = 146918016. Its totient is φ = 18656192.

The previous prime is 55968667. The next prime is 55968673. The reversal of 55968672 is 27686955.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (55968673) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 291408 + ... + 291599.

It is an arithmetic number, because the mean of its divisors is an integer number (6121584).

Almost surely, 2^55968672 is an apocalyptic number.

It is an amenable number.

55968672 is an abundant number, since it is smaller than the sum of its proper divisors (90949344).

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

55968672 is a wasteful number, since it uses less digits than its factorization.

55968672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583020 (or 583012 counting only the distinct ones).

The product of its digits is 907200, while the sum is 48.

The square root of 55968672 is about 7481.2212906717. The cubic root of 55968672 is about 382.5148800226.

The spelling of 55968672 in words is "fifty-five million, nine hundred sixty-eight thousand, six hundred seventy-two".