89966916 has 96 divisors (see below), whose sum is σ = 253545600. Its totient is φ = 27423360.

The previous prime is 89966911. The next prime is 89966923. The reversal of 89966916 is 61966998.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (89966911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194926 + ... + 195386.

It is an arithmetic number, because the mean of its divisors is an integer number (2641100).

Almost surely, 2^89966916 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 89966916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126772800).

89966916 is an abundant number, since it is smaller than the sum of its proper divisors (163578684).

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

89966916 is a wasteful number, since it uses less digits than its factorization.

89966916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 618 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 89966916 is about 9485.0891403297. The cubic root of 89966916 is about 448.0855557796.

The spelling of 89966916 in words is "eighty-nine million, nine hundred sixty-six thousand, nine hundred sixteen".