89152980 has 96 divisors (see below), whose sum is σ = 293051136. Its totient is φ = 19823616.

The previous prime is 89152961. The next prime is 89153021. The reversal of 89152980 is 8925198.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12672 + ... + 18408.

It is an arithmetic number, because the mean of its divisors is an integer number (3052616).

Almost surely, 2^89152980 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 89152980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146525568).

89152980 is an abundant number, since it is smaller than the sum of its proper divisors (203898156).

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

89152980 is a wasteful number, since it uses less digits than its factorization.

89152980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5793 (or 5791 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 89152980 is about 9442.0855747022. The cubic root of 89152980 is about 446.7301746287.

The spelling of 89152980 in words is "eighty-nine million, one hundred fifty-two thousand, nine hundred eighty".