45683760 has 80 divisors (see below), whose sum is σ = 149963616. Its totient is φ = 11464704.

The previous prime is 45683741. The next prime is 45683779. The reversal of 45683760 is 6738654.

It is an interprime number because it is at equal distance from previous prime (45683741) and next prime (45683779).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1519 + ... + 9678.

Almost surely, 2^45683760 is an apocalyptic number.

45683760 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 45683760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74981808).

45683760 is an abundant number, since it is smaller than the sum of its proper divisors (104279856).

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

45683760 is a wasteful number, since it uses less digits than its factorization.

45683760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11230 (or 11224 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 45683760 is about 6758.9762538420. The cubic root of 45683760 is about 357.4818091059.

The spelling of 45683760 in words is "forty-five million, six hundred eighty-three thousand, seven hundred sixty".