89539200 has 144 divisors (see below), whose sum is σ = 319599150. Its totient is φ = 23869440.

The previous prime is 89539193. The next prime is 89539217. The reversal of 89539200 is 293598.

It can be written as a sum of positive squares in 3 ways, for example, as 51494976 + 38044224 = 7176^2 + 6168^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27246 + ... + 30354.

Almost surely, 2^89539200 is an apocalyptic number.

89539200 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 89539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159799575).

89539200 is an abundant number, since it is smaller than the sum of its proper divisors (230059950).

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

89539200 is a wasteful number, since it uses less digits than its factorization.

89539200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 89539200 is about 9462.5155217838. The cubic root of 89539200 is about 447.3743392163.

The spelling of 89539200 in words is "eighty-nine million, five hundred thirty-nine thousand, two hundred".