56763168 has 144 divisors (see below), whose sum is σ = 189260064. Its totient is φ = 14730240.

The previous prime is 56763163. The next prime is 56763173. The reversal of 56763168 is 86136765.

It is an interprime number because it is at equal distance from previous prime (56763163) and next prime (56763173).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (181440) is a multiple of the sum of its prime divisors (1120).

It is not an unprimeable number, because it can be changed into a prime (56763163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51196 + ... + 52292.

It is an arithmetic number, because the mean of its divisors is an integer number (1314306).

Almost surely, 2^56763168 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 56763168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94630032).

56763168 is an abundant number, since it is smaller than the sum of its proper divisors (132496896).

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

56763168 is a wasteful number, since it uses less digits than its factorization.

56763168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1120 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 56763168 is about 7534.1335268231. The cubic root of 56763168 is about 384.3163625536.

The spelling of 56763168 in words is "fifty-six million, seven hundred sixty-three thousand, one hundred sixty-eight".