90681 has 8 divisors (see below), whose sum is σ = 122304. Its totient is φ = 59760.

The previous prime is 90679. The next prime is 90697. The reversal of 90681 is 18609.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 90681 - 2¹ = 90679 is a prime.

It is a super-2 number, since 2×90681² = 16446087522, which contains 22 as substring.

It is a plaindrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90681.

It is not an unprimeable number, because it can be changed into a prime (90631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411 + ... + 591.

It is an arithmetic number, because the mean of its divisors is an integer number (15288).

2⁹⁰⁶⁸¹ is an apocalyptic number.

It is an amenable number.

90681 is a deficient number, since it is larger than the sum of its proper divisors (31623).

90681 is a wasteful number, since it uses less digits than its factorization.

90681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 90681 is about 301.1328610431. The cubic root of 90681 is about 44.9267945551.

The spelling of 90681 in words is "ninety thousand, six hundred eighty-one".