45760120 has 96 divisors (see below), whose sum is σ = 123202080. Its totient is φ = 15240960.

The previous prime is 45760109. The next prime is 45760153. The reversal of 45760120 is 2106754.

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, 72205 + ... + 72835.

It is an arithmetic number, because the mean of its divisors is an integer number (1283355).

Almost surely, 2^45760120 is an apocalyptic number.

45760120 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 45760120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61601040).

45760120 is an abundant number, since it is smaller than the sum of its proper divisors (77441960).

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

45760120 is a wasteful number, since it uses less digits than its factorization.

45760120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 45760120 is about 6764.6226797952. The cubic root of 45760120 is about 357.6808741272.

Adding to 45760120 its reverse (2106754), we get a palindrome (47866874).

The spelling of 45760120 in words is "forty-five million, seven hundred sixty thousand, one hundred twenty".