89768000 has 168 divisors, whose sum is σ = 259735320. Its totient is φ = 30643200.

The previous prime is 89767987. The next prime is 89768039. The reversal of 89768000 is 86798.

It can be written as a sum of positive squares in 4 ways, for example, as 200704 + 89567296 = 448^2 + 9464^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391886 + ... + 392114.

Almost surely, 2^89768000 is an apocalyptic number.

89768000 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 89768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129867660).

89768000 is an abundant number, since it is smaller than the sum of its proper divisors (169967320).

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

89768000 is a wasteful number, since it uses less digits than its factorization.

89768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 89768000 is about 9474.5976167856. The cubic root of 89768000 is about 447.7550744548.

The spelling of 89768000 in words is "eighty-nine million, seven hundred sixty-eight thousand".