45660 has 24 divisors (see below), whose sum is σ = 128016. Its totient is φ = 12160.

The previous prime is 45659. The next prime is 45667. The reversal of 45660 is 6654.

45660 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45660.

It is not an unprimeable number, because it can be changed into a prime (45667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 321 + ... + 440.

It is an arithmetic number, because the mean of its divisors is an integer number (5334).

2⁴⁵⁶⁶⁰ is an apocalyptic number.

It is an amenable number.

45660 is an abundant number, since it is smaller than the sum of its proper divisors (82356).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64008).

45660 is a wasteful number, since it uses less digits than its factorization.

45660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 45660 is about 213.6820067296. The cubic root of 45660 is about 35.7419823251.

The spelling of 45660 in words is "forty-five thousand, six hundred sixty".