45684660 has 144 divisors (see below), whose sum is σ = 152832960. Its totient is φ = 10160640.

The previous prime is 45684649. The next prime is 45684671. The reversal of 45684660 is 6648654.

It is an interprime number because it is at equal distance from previous prime (45684649) and next prime (45684671).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120351 + ... + 120729.

It is an arithmetic number, because the mean of its divisors is an integer number (1061340).

Almost surely, 2^45684660 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 45684660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76416480).

45684660 is an abundant number, since it is smaller than the sum of its proper divisors (107148300).

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

45684660 is a wasteful number, since it uses less digits than its factorization.

45684660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 45684660 is about 6759.0428316441. The cubic root of 45684660 is about 357.4841566324.

The spelling of 45684660 in words is "forty-five million, six hundred eighty-four thousand, six hundred sixty".