89668000 has 96 divisors (see below), whose sum is σ = 228206160. Its totient is φ = 34585600.

The previous prime is 89667937. The next prime is 89668003. The reversal of 89668000 is 86698.

It can be written as a sum of positive squares in 8 ways, for example, as 478864 + 89189136 = 692^2 + 9444^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89668003) 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 15 ways as a sum of consecutive naturals, for example, 115614 + ... + 116386.

Almost surely, 2^89668000 is an apocalyptic number.

89668000 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 89668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114103080).

89668000 is an abundant number, since it is smaller than the sum of its proper divisors (138538160).

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

89668000 is a wasteful number, since it uses less digits than its factorization.

89668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 89668000 is about 9469.3188773005. The cubic root of 89668000 is about 447.5887488743.

The spelling of 89668000 in words is "eighty-nine million, six hundred sixty-eight thousand".