89100816 has 120 divisors (see below), whose sum is σ = 274294944. Its totient is φ = 24837120.

The previous prime is 89100799. The next prime is 89100841. The reversal of 89100816 is 61800198.

It is a nialpdrome in base 14.

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 23 ways as a sum of consecutive naturals, for example, 100696 + ... + 101576.

Almost surely, 2^89100816 is an apocalyptic number.

89100816 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89100816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137147472).

89100816 is an abundant number, since it is smaller than the sum of its proper divisors (185194128).

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

89100816 is a wasteful number, since it uses less digits than its factorization.

89100816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 89100816 is about 9439.3228570698. The cubic root of 89100816 is about 446.6430293672.

The spelling of 89100816 in words is "eighty-nine million, one hundred thousand, eight hundred sixteen".