89889152 has 64 divisors (see below), whose sum is σ = 196819200. Its totient is φ = 40702464.

The previous prime is 89889131. The next prime is 89889157. The reversal of 89889152 is 25198898.

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

It is a self number, because there is not a number n which added to its sum of digits gives 89889152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89889157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55133 + ... + 56739.

It is an arithmetic number, because the mean of its divisors is an integer number (3075300).

Almost surely, 2^89889152 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 89889152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98409600).

89889152 is an abundant number, since it is smaller than the sum of its proper divisors (106930048).

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

89889152 is a wasteful number, since it uses less digits than its factorization.

89889152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1651 counting only the distinct ones).

The product of its digits is 414720, while the sum is 50.

The square root of 89889152 is about 9480.9889779495. The cubic root of 89889152 is about 447.9564158280.

The spelling of 89889152 in words is "eighty-nine million, eight hundred eighty-nine thousand, one hundred fifty-two".