45613680 has 160 divisors (see below), whose sum is σ = 170227200. Its totient is φ = 9870336.

The previous prime is 45613651. The next prime is 45613691. The reversal of 45613680 is 8631654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31206 + ... + 32634.

It is an arithmetic number, because the mean of its divisors is an integer number (1063920).

Almost surely, 2^45613680 is an apocalyptic number.

45613680 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 45613680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85113600).

45613680 is an abundant number, since it is smaller than the sum of its proper divisors (124613520).

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

45613680 is a wasteful number, since it uses less digits than its factorization.

45613680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 45613680 is about 6753.7900470773. The cubic root of 45613680 is about 357.2989202893.

The spelling of 45613680 in words is "forty-five million, six hundred thirteen thousand, six hundred eighty".