45690720 has 48 divisors (see below), whose sum is σ = 143927280. Its totient is φ = 12184064.

The previous prime is 45690661. The next prime is 45690737. The reversal of 45690720 is 2709654.

45690720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×45690720³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47115 + ... + 48074.

It is an arithmetic number, because the mean of its divisors is an integer number (2998485).

Almost surely, 2^45690720 is an apocalyptic number.

45690720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45690720 is an abundant number, since it is smaller than the sum of its proper divisors (98236560).

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

45690720 is a wasteful number, since it uses less digits than its factorization.

45690720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95207 (or 95199 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 45690720 is about 6759.4911051055. The cubic root of 45690720 is about 357.4999625084.

The spelling of 45690720 in words is "forty-five million, six hundred ninety thousand, seven hundred twenty".