45319680 has 240 divisors, whose sum is σ = 180015264. Its totient is φ = 10321920.

The previous prime is 45319669. The next prime is 45319723. The reversal of 45319680 is 8691354.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 161140 + ... + 161420.

Almost surely, 2^45319680 is an apocalyptic number.

45319680 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 45319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90007632).

45319680 is an abundant number, since it is smaller than the sum of its proper divisors (134695584).

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

45319680 is a wasteful number, since it uses less digits than its factorization.

45319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 45319680 is about 6731.9893048043. The cubic root of 45319680 is about 356.5296161172.

The spelling of 45319680 in words is "forty-five million, three hundred nineteen thousand, six hundred eighty".