89540 has 36 divisors (see below), whose sum is σ = 212268. Its totient is φ = 31680.

The previous prime is 89533. The next prime is 89561. The reversal of 89540 is 4598.

89540 = T₇₉ + T₈₀ + ... + T₁₀₀.

It can be written as a sum of positive squares in 2 ways, for example, as 58564 + 30976 = 242^2 + 176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2402 + ... + 2438.

2⁸⁹⁵⁴⁰ 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 89540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106134).

89540 is an abundant number, since it is smaller than the sum of its proper divisors (122728).

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

89540 is a wasteful number, since it uses less digits than its factorization.

89540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 89540 is about 299.2323511922. The cubic root of 89540 is about 44.7375671588.

The spelling of 89540 in words is "eighty-nine thousand, five hundred forty".