45813680 has 80 divisors (see below), whose sum is σ = 117849600. Its totient is φ = 16423680.

The previous prime is 45813667. The next prime is 45813683. The reversal of 45813680 is 8631854.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 45813680.

It is not an unprimeable number, because it can be changed into a prime (45813683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69191 + ... + 69849.

It is an arithmetic number, because the mean of its divisors is an integer number (1473120).

Almost surely, 2^45813680 is an apocalyptic number.

45813680 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 45813680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58924800).

45813680 is an abundant number, since it is smaller than the sum of its proper divisors (72035920).

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

45813680 is a wasteful number, since it uses less digits than its factorization.

45813680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 45813680 is about 6768.5803533681. The cubic root of 45813680 is about 357.8203690864.

The spelling of 45813680 in words is "forty-five million, eight hundred thirteen thousand, six hundred eighty".