89775900 has 108 divisors (see below), whose sum is σ = 293699952. Its totient is φ = 22894080.

The previous prime is 89775899. The next prime is 89776013. The reversal of 89775900 is 957798.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18532 + ... + 22868.

It is an arithmetic number, because the mean of its divisors is an integer number (2719444).

Almost surely, 2^89775900 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 89775900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146849976).

89775900 is an abundant number, since it is smaller than the sum of its proper divisors (203924052).

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

89775900 is a wasteful number, since it uses less digits than its factorization.

89775900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The square root of 89775900 is about 9475.0145118622. The cubic root of 89775900 is about 447.7682089100.

The spelling of 89775900 in words is "eighty-nine million, seven hundred seventy-five thousand, nine hundred".