89765000 has 80 divisors (see below), whose sum is σ = 226661820. Its totient is φ = 33120000.

The previous prime is 89764991. The next prime is 89765017. The reversal of 89765000 is 56798.

It can be written as a sum of positive squares in 10 ways, for example, as 20775364 + 68989636 = 4558^2 + 8306^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64310 + ... + 65690.

Almost surely, 2^89765000 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 89765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113330910).

89765000 is an abundant number, since it is smaller than the sum of its proper divisors (136896820).

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

89765000 is a wasteful number, since it uses less digits than its factorization.

89765000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 89765000 is about 9474.4392973938. The cubic root of 89765000 is about 447.7500864851.

The spelling of 89765000 in words is "eighty-nine million, seven hundred sixty-five thousand".