45677664 has 72 divisors (see below), whose sum is σ = 130712400. Its totient is φ = 15130368.

The previous prime is 45677659. The next prime is 45677683. The reversal of 45677664 is 46677654.

It is a happy number.

45677664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56914 + ... + 57710.

It is an arithmetic number, because the mean of its divisors is an integer number (1815450).

Almost surely, 2^45677664 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 45677664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65356200).

45677664 is an abundant number, since it is smaller than the sum of its proper divisors (85034736).

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

45677664 is a wasteful number, since it uses less digits than its factorization.

45677664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1001 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 45677664 is about 6758.5252829297. The cubic root of 45677664 is about 357.4659077145.

The spelling of 45677664 in words is "forty-five million, six hundred seventy-seven thousand, six hundred sixty-four".