89913888 has 144 divisors (see below), whose sum is σ = 274450176. Its totient is φ = 28926720.

The previous prime is 89913883. The next prime is 89913907. The reversal of 89913888 is 88831998.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (89913883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240870 + ... + 241242.

It is an arithmetic number, because the mean of its divisors is an integer number (1905904).

Almost surely, 2^89913888 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 89913888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137225088).

89913888 is an abundant number, since it is smaller than the sum of its proper divisors (184536288).

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

89913888 is a wasteful number, since it uses less digits than its factorization.

89913888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 409 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The square root of 89913888 is about 9482.2933934782. The cubic root of 89913888 is about 447.9975021119.

The spelling of 89913888 in words is "eighty-nine million, nine hundred thirteen thousand, eight hundred eighty-eight".