45096080 has 40 divisors (see below), whose sum is σ = 106578744. Its totient is φ = 17740800.

The previous prime is 45096067. The next prime is 45096109. The reversal of 45096080 is 8069054.

It can be written as a sum of positive squares in 4 ways, for example, as 5607424 + 39488656 = 2368^2 + 6284^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260 + ... + 9500.

Almost surely, 2^45096080 is an apocalyptic number.

45096080 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 45096080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53289372).

45096080 is an abundant number, since it is smaller than the sum of its proper divisors (61482664).

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

45096080 is a wasteful number, since it uses less digits than its factorization.

45096080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9315 (or 9309 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 45096080 is about 6715.3614943650. The cubic root of 45096080 is about 355.9422959117.

The spelling of 45096080 in words is "forty-five million, ninety-six thousand, eighty".