56168112 has 240 divisors, whose sum is σ = 199487232. Its totient is φ = 13386240.

The previous prime is 56168111. The next prime is 56168113. The reversal of 56168112 is 21186165.

It is an interprime number because it is at equal distance from previous prime (56168111) and next prime (56168113).

It is a self number, because there is not a number n which added to its sum of digits gives 56168112.

It is not an unprimeable number, because it can be changed into a prime (56168111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336253 + ... + 336419.

Almost surely, 2^56168112 is an apocalyptic number.

56168112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56168112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99743616).

56168112 is an abundant number, since it is smaller than the sum of its proper divisors (143319120).

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

56168112 is a wasteful number, since it uses less digits than its factorization.

56168112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 203 counting only the distinct ones).

The product of its digits is 2880, while the sum is 30.

The square root of 56168112 is about 7494.5388116948. The cubic root of 56168112 is about 382.9686953896.

It can be divided in two parts, 56168 and 112, that added together give a triangular number (56280 = T₃₃₅).

The spelling of 56168112 in words is "fifty-six million, one hundred sixty-eight thousand, one hundred twelve".