89652 has 24 divisors (see below), whose sum is σ = 216832. Its totient is φ = 28800.

The previous prime is 89633. The next prime is 89653. The reversal of 89652 is 25698.

It is a super-2 number, since 2×89652² = 16074962208, which contains 22 as substring.

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

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 89652.

It is not an unprimeable number, because it can be changed into a prime (89653) by changing a digit.

89652 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 7 ways as a sum of consecutive naturals, for example, 252 + ... + 492.

2⁸⁹⁶⁵² is an apocalyptic number.

It is an amenable number.

89652 is an abundant number, since it is smaller than the sum of its proper divisors (127180).

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 (108416).

89652 is a wasteful number, since it uses less digits than its factorization.

89652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 277 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 89652 is about 299.4194382468. The cubic root of 89652 is about 44.7562125307.

It can be divided in two parts, 89 and 652, that added together give a triangular number (741 = T₃₈).

The spelling of 89652 in words is "eighty-nine thousand, six hundred fifty-two".