89640 has 64 divisors (see below), whose sum is σ = 302400. Its totient is φ = 23616.

The previous prime is 89633. The next prime is 89653. The reversal of 89640 is 4698.

89640 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is an unprimeable number.

89640 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, 1039 + ... + 1121.

It is an arithmetic number, because the mean of its divisors is an integer number (4725).

2⁸⁹⁶⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

89640 is an abundant number, since it is smaller than the sum of its proper divisors (212760).

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

89640 is a wasteful number, since it uses less digits than its factorization.

89640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 89640 is about 299.3993987970. The cubic root of 89640 is about 44.7542155553.

It can be divided in two parts, 89 and 640, that added together give a 6-th power (729 = 3⁶).

The spelling of 89640 in words is "eighty-nine thousand, six hundred forty".