89808768 has 288 divisors, whose sum is σ = 315932760. Its totient is φ = 24385536.

The previous prime is 89808757. The next prime is 89808769. The reversal of 89808768 is 86780898.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×89808768² = 16131229619355648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89808769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2088555 + ... + 2088597.

Almost surely, 2^89808768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89808768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157966380).

89808768 is an abundant number, since it is smaller than the sum of its proper divisors (226123992).

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

89808768 is a wasteful number, since it uses less digits than its factorization.

89808768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 89808768 is about 9476.7488095865. The cubic root of 89808768 is about 447.8228466238.

The spelling of 89808768 in words is "eighty-nine million, eight hundred eight thousand, seven hundred sixty-eight".