89749600 has 72 divisors (see below), whose sum is σ = 224282520. Its totient is φ = 35051520.

The previous prime is 89749591. The next prime is 89749603. The reversal of 89749600 is 694798.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89749603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33096 + ... + 35704.

It is an arithmetic number, because the mean of its divisors is an integer number (3115035).

Almost surely, 2^89749600 is an apocalyptic number.

89749600 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 89749600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112141260).

89749600 is an abundant number, since it is smaller than the sum of its proper divisors (134532920).

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

89749600 is a wasteful number, since it uses less digits than its factorization.

89749600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 89749600 is about 9473.6265495321. The cubic root of 89749600 is about 447.7244798244.

The spelling of 89749600 in words is "eighty-nine million, seven hundred forty-nine thousand, six hundred".