89940 has 24 divisors (see below), whose sum is σ = 252000. Its totient is φ = 23968.

The previous prime is 89939. The next prime is 89959. The reversal of 89940 is 4998.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 89898 and 89907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 690 + ... + 809.

It is an arithmetic number, because the mean of its divisors is an integer number (10500).

2⁸⁹⁹⁴⁰ is an apocalyptic number.

It is an amenable number.

89940 is an abundant number, since it is smaller than the sum of its proper divisors (162060).

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 (126000).

89940 is a wasteful number, since it uses less digits than its factorization.

89940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 89940 is about 299.8999833278. The cubic root of 89940 is about 44.8040865745.

It can be divided in two parts, 899 and 40, that added together give a palindrome (939).

The spelling of 89940 in words is "eighty-nine thousand, nine hundred forty".