45872568 has 96 divisors (see below), whose sum is σ = 147288960. Its totient is φ = 13102560.

The previous prime is 45872551. The next prime is 45872569. The reversal of 45872568 is 86527854.

45872568 is a `hidden beast` number, since 4 + 5 + 87 + 2 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45872569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11923 + ... + 15293.

It is an arithmetic number, because the mean of its divisors is an integer number (1534260).

Almost surely, 2^45872568 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 45872568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73644480).

45872568 is an abundant number, since it is smaller than the sum of its proper divisors (101416392).

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

45872568 is a wasteful number, since it uses less digits than its factorization.

45872568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399 (or 3383 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 45872568 is about 6772.9290561765. The cubic root of 45872568 is about 357.9736151918.

The spelling of 45872568 in words is "forty-five million, eight hundred seventy-two thousand, five hundred sixty-eight".