45870768 has 60 divisors (see below), whose sum is σ = 129556440. Its totient is φ = 15149568.

The previous prime is 45870739. The next prime is 45870817. The reversal of 45870768 is 86707854.

45870768 is a `hidden beast` number, since 4 + 587 + 0 + 7 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14863 + ... + 17681.

It is an arithmetic number, because the mean of its divisors is an integer number (2159274).

Almost surely, 2^45870768 is an apocalyptic number.

45870768 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 45870768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64778220).

45870768 is an abundant number, since it is smaller than the sum of its proper divisors (83685672).

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

45870768 is a wasteful number, since it uses less digits than its factorization.

45870768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 45870768 is about 6772.7961729259. The cubic root of 45870768 is about 357.9689329386.

The spelling of 45870768 in words is "forty-five million, eight hundred seventy thousand, seven hundred sixty-eight".