88690 has 24 divisors (see below), whose sum is σ = 186732. Its totient is φ = 30240.

The previous prime is 88681. The next prime is 88721. The reversal of 88690 is 9688.

88690 = T₈₄ + T₈₅ + ... + T₁₀₃.

It can be written as a sum of positive squares in 2 ways, for example, as 74529 + 14161 = 273^2 + 119^2 .

It is a super-2 number, since 2×88690² = 15731832200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400 + ... + 580.

2⁸⁸⁶⁹⁰ is an apocalyptic number.

88690 is an abundant number, since it is smaller than the sum of its proper divisors (98042).

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 (93366).

88690 is a wasteful number, since it uses less digits than its factorization.

88690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 88690 is about 297.8086634066. The cubic root of 88690 is about 44.5955527884.

The spelling of 88690 in words is "eighty-eight thousand, six hundred ninety".