89460 has 72 divisors (see below), whose sum is σ = 314496. Its totient is φ = 20160.

The previous prime is 89459. The next prime is 89477. The reversal of 89460 is 6498.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1225 + ... + 1295.

It is an arithmetic number, because the mean of its divisors is an integer number (4368).

2⁸⁹⁴⁶⁰ 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 89460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248).

89460 is an abundant number, since it is smaller than the sum of its proper divisors (225036).

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

89460 is a wasteful number, since it uses less digits than its factorization.

89460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 88 counting only the distinct ones).

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

The square root of 89460 is about 299.0986459347. The cubic root of 89460 is about 44.7242395145.

The spelling of 89460 in words is "eighty-nine thousand, four hundred sixty".