55935168 has 56 divisors (see below), whose sum is σ = 156709872. Its totient is φ = 17547264.

The previous prime is 55935163. The next prime is 55935169. The reversal of 55935168 is 86153955.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (55935161) 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, 5305 + ... + 11832.

Almost surely, 2^55935168 is an apocalyptic number.

It is an amenable number.

55935168 is an abundant number, since it is smaller than the sum of its proper divisors (100774704).

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

55935168 is a wasteful number, since it uses less digits than its factorization.

55935168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17169 (or 17159 counting only the distinct ones).

The product of its digits is 162000, while the sum is 42.

The square root of 55935168 is about 7478.9817488746. The cubic root of 55935168 is about 382.4385376916.

The spelling of 55935168 in words is "fifty-five million, nine hundred thirty-five thousand, one hundred sixty-eight".