89440416 has 96 divisors (see below), whose sum is σ = 280969920. Its totient is φ = 27516672.

The previous prime is 89440409. The next prime is 89440423. The reversal of 89440416 is 61404498.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89440409) and next prime (89440423).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7251 + ... + 15213.

It is an arithmetic number, because the mean of its divisors is an integer number (2926770).

Almost surely, 2^89440416 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 89440416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140484960).

89440416 is an abundant number, since it is smaller than the sum of its proper divisors (191529504).

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

89440416 is a wasteful number, since it uses less digits than its factorization.

89440416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7995 (or 7981 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 89440416 is about 9457.2943276605. The cubic root of 89440416 is about 447.2097569670.

The spelling of 89440416 in words is "eighty-nine million, four hundred forty thousand, four hundred sixteen".