45607680 has 216 divisors, whose sum is σ = 163577232. Its totient is φ = 11722752.

The previous prime is 45607673. The next prime is 45607693. The reversal of 45607680 is 8670654.

It is a happy number.

45607680 is a `hidden beast` number, since 45 + 607 + 6 + 8 + 0 = 666.

45607680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 426187 + ... + 426293.

It is an arithmetic number, because the mean of its divisors is an integer number (757302).

Almost surely, 2^45607680 is an apocalyptic number.

45607680 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 45607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81788616).

45607680 is an abundant number, since it is smaller than the sum of its proper divisors (117969552).

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

45607680 is a wasteful number, since it uses less digits than its factorization.

45607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

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

The square root of 45607680 is about 6753.3458374350. The cubic root of 45607680 is about 357.2832532970.

The spelling of 45607680 in words is "forty-five million, six hundred seven thousand, six hundred eighty".