89268096 has 64 divisors (see below), whose sum is σ = 244800000. Its totient is φ = 28792320.

The previous prime is 89268041. The next prime is 89268103. The reversal of 89268096 is 69086298.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8155 + ... + 15653.

It is an arithmetic number, because the mean of its divisors is an integer number (3825000).

Almost surely, 2^89268096 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 89268096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122400000).

89268096 is an abundant number, since it is smaller than the sum of its proper divisors (155531904).

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

89268096 is a wasteful number, since it uses less digits than its factorization.

89268096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7547 (or 7535 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 89268096 is about 9448.1795071855. The cubic root of 89268096 is about 446.9223673917.

The spelling of 89268096 in words is "eighty-nine million, two hundred sixty-eight thousand, ninety-six".