87690 has 32 divisors (see below), whose sum is σ = 218880. Its totient is φ = 22464.

The previous prime is 87683. The next prime is 87691. The reversal of 87690 is 9678.

It is a happy number.

It is a super-2 number, since 2×87690² = 15379072200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (87691) by changing a digit.

87690 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 15 ways as a sum of consecutive naturals, for example, 1071 + ... + 1149.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

2⁸⁷⁶⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109440).

87690 is an abundant number, since it is smaller than the sum of its proper divisors (131190).

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

87690 is a wasteful number, since it uses less digits than its factorization.

87690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126.

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

The square root of 87690 is about 296.1249736176. The cubic root of 87690 is about 44.4273105251.

Subtracting from 87690 its product of nonzero digits (3024), we obtain a triangular number (84666 = T₄₁₁).

It can be divided in two parts, 87 and 690, that added together give a palindrome (777).

The spelling of 87690 in words is "eighty-seven thousand, six hundred ninety".