89960 has 32 divisors (see below), whose sum is σ = 219240. Its totient is φ = 33024.

The previous prime is 89959. The next prime is 89963. The reversal of 89960 is 6998.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 75076 + 14884 = 274^2 + 122^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 434 + ... + 606.

2⁸⁹⁹⁶⁰ 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 89960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109620).

89960 is an abundant number, since it is smaller than the sum of its proper divisors (129280).

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

89960 is a wasteful number, since it uses less digits than its factorization.

89960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 89960 is about 299.9333259243. The cubic root of 89960 is about 44.8074073636.

It can be divided in two parts, 899 and 60, that added together give a palindrome (959).

The spelling of 89960 in words is "eighty-nine thousand, nine hundred sixty".