45876864 has 64 divisors (see below), whose sum is σ = 132950880. Its totient is φ = 13900800.

The previous prime is 45876851. The next prime is 45876871. The reversal of 45876864 is 46867854.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1207 + ... + 9654.

Almost surely, 2^45876864 is an apocalyptic number.

45876864 is a gapful number since it is divisible by the number (44) 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 45876864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66475440).

45876864 is an abundant number, since it is smaller than the sum of its proper divisors (87074016).

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

45876864 is a wasteful number, since it uses less digits than its factorization.

45876864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10889 (or 10877 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 45876864 is about 6773.2461936652. The cubic root of 45876864 is about 357.9847896745.

The spelling of 45876864 in words is "forty-five million, eight hundred seventy-six thousand, eight hundred sixty-four".