88902 has 24 divisors (see below), whose sum is σ = 210600. Its totient is φ = 26880.

The previous prime is 88897. The next prime is 88903. The reversal of 88902 is 20988.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88903) by changing a digit.

88902 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 11 ways as a sum of consecutive naturals, for example, 27 + ... + 422.

It is an arithmetic number, because the mean of its divisors is an integer number (8775).

2⁸⁸⁹⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105300).

88902 is an abundant number, since it is smaller than the sum of its proper divisors (121698).

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

88902 is a wasteful number, since it uses less digits than its factorization.

88902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 88902 is about 298.1643841910. The cubic root of 88902 is about 44.6310574834.

It can be divided in two parts, 88 and 902, that added together give a triangular number (990 = T₄₄).

The spelling of 88902 in words is "eighty-eight thousand, nine hundred two".