45840672 has 36 divisors (see below), whose sum is σ = 130360230. Its totient is φ = 15280128.

The previous prime is 45840649. The next prime is 45840689. The reversal of 45840672 is 27604854.

45840672 is a `hidden beast` number, since 4 + 584 + 0 + 6 + 72 = 666.

45840672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 45643536 + 197136 = 6756^2 + 444^2 .

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

It is a super-3 number, since 3×45840672³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79297 + ... + 79872.

Almost surely, 2^45840672 is an apocalyptic number.

It is an amenable number.

45840672 is an abundant number, since it is smaller than the sum of its proper divisors (84519558).

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

45840672 is a wasteful number, since it uses less digits than its factorization.

45840672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159185 (or 159174 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 45840672 is about 6770.5739786225. The cubic root of 45840672 is about 357.8906275131.

The spelling of 45840672 in words is "forty-five million, eight hundred forty thousand, six hundred seventy-two".