89192896 has 112 divisors (see below), whose sum is σ = 204825600. Its totient is φ = 38218752.

The previous prime is 89192869. The next prime is 89192899. The reversal of 89192896 is 69829198.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89192899) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1128985 + ... + 1129063.

It is an arithmetic number, because the mean of its divisors is an integer number (1828800).

Almost surely, 2^89192896 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 89192896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102412800).

89192896 is an abundant number, since it is smaller than the sum of its proper divisors (115632704).

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

89192896 is a wasteful number, since it uses less digits than its factorization.

89192896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its digits is 559872, while the sum is 52.

The square root of 89192896 is about 9444.1990660934. The cubic root of 89192896 is about 446.7968354069.

The spelling of 89192896 in words is "eighty-nine million, one hundred ninety-two thousand, eight hundred ninety-six".