89989152 has 144 divisors (see below), whose sum is σ = 265982976. Its totient is φ = 26611200.

The previous prime is 89989147. The next prime is 89989157. The reversal of 89989152 is 25198998.

It is an interprime number because it is at equal distance from previous prime (89989147) and next prime (89989157).

It is a junction number, because it is equal to n+sod(n) for n = 89989095 and 89989104.

It is not an unprimeable number, because it can be changed into a prime (89989157) 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, 708513 + ... + 708639.

It is an arithmetic number, because the mean of its divisors is an integer number (1847104).

Almost surely, 2^89989152 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 89989152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132991488).

89989152 is an abundant number, since it is smaller than the sum of its proper divisors (175993824).

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

89989152 is a wasteful number, since it uses less digits than its factorization.

89989152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its digits is 466560, while the sum is 51.

The square root of 89989152 is about 9486.2612234747. The cubic root of 89989152 is about 448.1224686439.

The spelling of 89989152 in words is "eighty-nine million, nine hundred eighty-nine thousand, one hundred fifty-two".