45803664 has 80 divisors (see below), whose sum is σ = 132332800. Its totient is φ = 15168384.

The previous prime is 45803657. The next prime is 45803671. The reversal of 45803664 is 46630854.

It is an interprime number because it is at equal distance from previous prime (45803657) and next prime (45803671).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98697 + ... + 99159.

It is an arithmetic number, because the mean of its divisors is an integer number (1654160).

Almost surely, 2^45803664 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 45803664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66166400).

45803664 is an abundant number, since it is smaller than the sum of its proper divisors (86529136).

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

45803664 is a wasteful number, since it uses less digits than its factorization.

45803664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 45803664 is about 6767.8404236507. The cubic root of 45803664 is about 357.7942910675.

The spelling of 45803664 in words is "forty-five million, eight hundred three thousand, six hundred sixty-four".