45665760 has 96 divisors (see below), whose sum is σ = 164408832. Its totient is φ = 10437120.

The previous prime is 45665747. The next prime is 45665777. The reversal of 45665760 is 6756654.

45665760 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 (96).

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 15 ways as a sum of consecutive naturals, for example, 3436 + ... + 10155.

It is an arithmetic number, because the mean of its divisors is an integer number (1712592).

Almost surely, 2^45665760 is an apocalyptic number.

45665760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45665760 is an abundant number, since it is smaller than the sum of its proper divisors (118743072).

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

45665760 is a wasteful number, since it uses less digits than its factorization.

45665760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13616 (or 13608 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 45665760 is about 6757.6445600520. The cubic root of 45665760 is about 357.4348520992.

The spelling of 45665760 in words is "forty-five million, six hundred sixty-five thousand, seven hundred sixty".