45676080 has 60 divisors (see below), whose sum is σ = 153397920. Its totient is φ = 12180096.

The previous prime is 45676079. The next prime is 45676097. The reversal of 45676080 is 8067654.

It is a happy number.

45676080 is a `hidden beast` number, since 45 + 6 + 7 + 608 + 0 = 666.

45676080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31000 + ... + 32439.

It is an arithmetic number, because the mean of its divisors is an integer number (2556632).

Almost surely, 2^45676080 is an apocalyptic number.

45676080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45676080 is an abundant number, since it is smaller than the sum of its proper divisors (107721840).

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

45676080 is a wasteful number, since it uses less digits than its factorization.

45676080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63458 (or 63449 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 45676080 is about 6758.4080965861. The cubic root of 45676080 is about 357.4617756253.

The spelling of 45676080 in words is "forty-five million, six hundred seventy-six thousand, eighty".