89805280 has 48 divisors (see below), whose sum is σ = 213645600. Its totient is φ = 35671552.

The previous prime is 89805269. The next prime is 89805299. The reversal of 89805280 is 8250898.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21957 + ... + 25723.

It is an arithmetic number, because the mean of its divisors is an integer number (4450950).

Almost surely, 2^89805280 is an apocalyptic number.

89805280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89805280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106822800).

89805280 is an abundant number, since it is smaller than the sum of its proper divisors (123840320).

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

89805280 is a wasteful number, since it uses less digits than its factorization.

89805280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3931 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The square root of 89805280 is about 9476.5647784416. The cubic root of 89805280 is about 447.8170490225.

The spelling of 89805280 in words is "eighty-nine million, eight hundred five thousand, two hundred eighty".