89939200 has 216 divisors, whose sum is σ = 255483648. Its totient is φ = 31088640.

The previous prime is 89939173. The next prime is 89939207. The reversal of 89939200 is 293998.

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 not an unprimeable number, because it can be changed into a prime (89939207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1913577 + ... + 1913623.

Almost surely, 2^89939200 is an apocalyptic number.

89939200 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 89939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127741824).

89939200 is an abundant number, since it is smaller than the sum of its proper divisors (165544448).

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

89939200 is a wasteful number, since it uses less digits than its factorization.

89939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 89939200 is about 9483.6279977654. The cubic root of 89939200 is about 448.0395373269.

The spelling of 89939200 in words is "eighty-nine million, nine hundred thirty-nine thousand, two hundred".