89632 has 12 divisors (see below), whose sum is σ = 176526. Its totient is φ = 44800.

The previous prime is 89627. The next prime is 89633. The reversal of 89632 is 23698.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 13456 = 276^2 + 116^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 89632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89633) by changing a digit.

89632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1369 + ... + 1432.

2⁸⁹⁶³² is an apocalyptic number.

It is an amenable number.

89632 is a deficient number, since it is larger than the sum of its proper divisors (86894).

89632 is a wasteful number, since it uses less digits than its factorization.

89632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811 (or 2803 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 89632 is about 299.3860384186. The cubic root of 89632 is about 44.7528841394.

The spelling of 89632 in words is "eighty-nine thousand, six hundred thirty-two".