45875568 has 80 divisors (see below), whose sum is σ = 122492160. Its totient is φ = 14788608.

The previous prime is 45875563. The next prime is 45875573. The reversal of 45875568 is 86557854.

It is an interprime number because it is at equal distance from previous prime (45875563) and next prime (45875573).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45875563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274621 + ... + 274787.

It is an arithmetic number, because the mean of its divisors is an integer number (1531152).

Almost surely, 2^45875568 is an apocalyptic number.

45875568 is a gapful number since it is divisible by the number (48) 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 45875568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61246080).

45875568 is an abundant number, since it is smaller than the sum of its proper divisors (76616592).

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

45875568 is a wasteful number, since it uses less digits than its factorization.

45875568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 48.

The square root of 45875568 is about 6773.1505224674. The cubic root of 45875568 is about 357.9814186750.

The spelling of 45875568 in words is "forty-five million, eight hundred seventy-five thousand, five hundred sixty-eight".