89496 has 48 divisors (see below), whose sum is σ = 266760. Its totient is φ = 26880.

The previous prime is 89491. The next prime is 89501. The reversal of 89496 is 69498.

It is an interprime number because it is at equal distance from previous prime (89491) and next prime (89501).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 89496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89491) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 736 + ... + 848.

2⁸⁹⁴⁹⁶ 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 89496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133380).

89496 is an abundant number, since it is smaller than the sum of its proper divisors (177264).

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

89496 is a wasteful number, since it uses less digits than its factorization.

89496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 129 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 89496 is about 299.1588206956. The cubic root of 89496 is about 44.7302379373.

It can be divided in two parts, 894 and 96, that added together give a triangular number (990 = T₄₄).

The spelling of 89496 in words is "eighty-nine thousand, four hundred ninety-six".