45960084 has 36 divisors (see below), whose sum is σ = 118087060. Its totient is φ = 15068160.

The previous prime is 45960059. The next prime is 45960097. The reversal of 45960084 is 48006954.

45960084 is a `hidden beast` number, since 45 + 9 + 600 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10890000 + 35070084 = 3300^2 + 5922^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×45960084² = 4224658642574112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8269 + ... + 12660.

Almost surely, 2^45960084 is an apocalyptic number.

It is an amenable number.

45960084 is an abundant number, since it is smaller than the sum of its proper divisors (72126976).

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

45960084 is a wasteful number, since it uses less digits than its factorization.

45960084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21000 (or 20995 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 45960084 is about 6779.3866979248. The cubic root of 45960084 is about 358.2011187487.

It can be divided in two parts, 459600 and 84, that added together give a square (459684 = 678²).

The spelling of 45960084 in words is "forty-five million, nine hundred sixty thousand, eighty-four".