90687 has 16 divisors (see below), whose sum is σ = 133760. Its totient is φ = 54432.

The previous prime is 90679. The next prime is 90697. The reversal of 90687 is 78609.

It is a happy number.

It is not a de Polignac number, because 90687 - 2³ = 90679 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

90687 is an undulating number in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90687.

It is not an unprimeable number, because it can be changed into a prime (90617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2088 + ... + 2130.

It is an arithmetic number, because the mean of its divisors is an integer number (8360).

2⁹⁰⁶⁸⁷ is an apocalyptic number.

90687 is a deficient number, since it is larger than the sum of its proper divisors (43073).

90687 is a wasteful number, since it uses less digits than its factorization.

90687 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 90687 is about 301.1428232583. The cubic root of 90687 is about 44.9277854088.

It can be divided in two parts, 90 and 687, that added together give a palindrome (777).

The spelling of 90687 in words is "ninety thousand, six hundred eighty-seven".