45681720 has 192 divisors, whose sum is σ = 169166880. Its totient is φ = 9805824.

The previous prime is 45681679. The next prime is 45681731. The reversal of 45681720 is 2718654.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99732 + ... + 100188.

Almost surely, 2^45681720 is an apocalyptic number.

45681720 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 45681720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84583440).

45681720 is an abundant number, since it is smaller than the sum of its proper divisors (123485160).

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

45681720 is a wasteful number, since it uses less digits than its factorization.

45681720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 45681720 is about 6758.8253417291. The cubic root of 45681720 is about 357.4764879316.

The spelling of 45681720 in words is "forty-five million, six hundred eighty-one thousand, seven hundred twenty".