45666960 has 80 divisors (see below), whose sum is σ = 147740544. Its totient is φ = 11646976.

The previous prime is 45666949. The next prime is 45666961. The reversal of 45666960 is 6966654.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (45666961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1384 + ... + 9656.

Almost surely, 2^45666960 is an apocalyptic number.

45666960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45666960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73870272).

45666960 is an abundant number, since it is smaller than the sum of its proper divisors (102073584).

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

45666960 is a wasteful number, since it uses less digits than its factorization.

45666960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8312 (or 8306 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 45666960 is about 6757.7333478024. The cubic root of 45666960 is about 357.4379829502.

The spelling of 45666960 in words is "forty-five million, six hundred sixty-six thousand, nine hundred sixty".