89290980 has 72 divisors (see below), whose sum is σ = 272248704. Its totient is φ = 23688000.

The previous prime is 89290979. The next prime is 89291003. The reversal of 89290980 is 8909298.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 36805 + ... + 39155.

It is an arithmetic number, because the mean of its divisors is an integer number (3781232).

Almost surely, 2^89290980 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 89290980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136124352).

89290980 is an abundant number, since it is smaller than the sum of its proper divisors (182957724).

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

89290980 is a wasteful number, since it uses less digits than its factorization.

89290980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 89290980 is about 9449.3904565321. The cubic root of 89290980 is about 446.9605538514.

The spelling of 89290980 in words is "eighty-nine million, two hundred ninety thousand, nine hundred eighty".