89835968 has 56 divisors (see below), whose sum is σ = 186690000. Its totient is φ = 42835968.

The previous prime is 89835943. The next prime is 89835989. The reversal of 89835968 is 86953898.

It is a super-2 number, since 2×89835968² = 16141002292994048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179783 + ... + 180281.

It is an arithmetic number, because the mean of its divisors is an integer number (3333750).

Almost surely, 2^89835968 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 89835968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93345000).

89835968 is an abundant number, since it is smaller than the sum of its proper divisors (96854032).

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

89835968 is a wasteful number, since it uses less digits than its factorization.

89835968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 627 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 56.

The square root of 89835968 is about 9478.1837922674. The cubic root of 89835968 is about 447.8680521281.

The spelling of 89835968 in words is "eighty-nine million, eight hundred thirty-five thousand, nine hundred sixty-eight".