89879880 has 128 divisors (see below), whose sum is σ = 288000000. Its totient is φ = 22374144.

The previous prime is 89879873. The next prime is 89879887. The reversal of 89879880 is 8897898.

It is an interprime number because it is at equal distance from previous prime (89879873) and next prime (89879887).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 89879880.

It is not an unprimeable number, because it can be changed into a prime (89879887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179871 + ... + 180369.

It is an arithmetic number, because the mean of its divisors is an integer number (2250000).

Almost surely, 2^89879880 is an apocalyptic number.

It is a pronic number, being equal to 9480×9481.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89879880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144000000).

89879880 is an abundant number, since it is smaller than the sum of its proper divisors (198120120).

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

89879880 is a wasteful number, since it uses less digits than its factorization.

89879880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 57.

The square root of 89879880 is about 9480.4999868150. The cubic root of 89879880 is about 447.9410131733.

The spelling of 89879880 in words is "eighty-nine million, eight hundred seventy-nine thousand, eight hundred eighty".