45318960 has 80 divisors (see below), whose sum is σ = 156106080. Its totient is φ = 12084480.

The previous prime is 45318953. The next prime is 45318979. The reversal of 45318960 is 6981354.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 8331 + ... + 12650.

It is an arithmetic number, because the mean of its divisors is an integer number (1951326).

Almost surely, 2^45318960 is an apocalyptic number.

45318960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45318960 is an abundant number, since it is smaller than the sum of its proper divisors (110787120).

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

45318960 is a wasteful number, since it uses less digits than its factorization.

45318960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21003 (or 20991 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 45318960 is about 6731.9358285712. The cubic root of 45318960 is about 356.5277280288.

The spelling of 45318960 in words is "forty-five million, three hundred eighteen thousand, nine hundred sixty".