89916260 has 48 divisors (see below), whose sum is σ = 217969920. Its totient is φ = 30518400.

The previous prime is 89916221. The next prime is 89916283. The reversal of 89916260 is 6261998.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10961 + ... + 17319.

It is an arithmetic number, because the mean of its divisors is an integer number (4541040).

Almost surely, 2^89916260 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 89916260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108984960).

89916260 is an abundant number, since it is smaller than the sum of its proper divisors (128053660).

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

89916260 is a wasteful number, since it uses less digits than its factorization.

89916260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6476 (or 6474 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 89916260 is about 9482.4184678804. The cubic root of 89916260 is about 448.0014415876.

It can be divided in two parts, 8991 and 6260, that added together give a palindrome (15251).

The spelling of 89916260 in words is "eighty-nine million, nine hundred sixteen thousand, two hundred sixty".