45690 has 16 divisors (see below), whose sum is σ = 109728. Its totient is φ = 12176.

The previous prime is 45677. The next prime is 45691. The reversal of 45690 is 9654.

It is a super-2 number, since 2×45690² = 4175152200, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 45690.

It is not an unprimeable number, because it can be changed into a prime (45691) by changing a digit.

45690 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 732 + ... + 791.

It is an arithmetic number, because the mean of its divisors is an integer number (6858).

2⁴⁵⁶⁹⁰ is an apocalyptic number.

45690 is an abundant number, since it is smaller than the sum of its proper divisors (64038).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54864).

45690 is a wasteful number, since it uses less digits than its factorization.

45690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 45690 is about 213.7521929712. The cubic root of 45690 is about 35.7498084656.

The spelling of 45690 in words is "forty-five thousand, six hundred ninety".