89635968 has 192 divisors, whose sum is σ = 286416000. Its totient is φ = 26763264.

The previous prime is 89635943. The next prime is 89635969. The reversal of 89635968 is 86953698.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89635969) 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 23 ways as a sum of consecutive naturals, for example, 450333 + ... + 450531.

It is an arithmetic number, because the mean of its divisors is an integer number (1491750).

Almost surely, 2^89635968 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 89635968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143208000).

89635968 is an abundant number, since it is smaller than the sum of its proper divisors (196780032).

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

89635968 is a wasteful number, since it uses less digits than its factorization.

89635968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 244 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 89635968 is about 9467.6273690931. The cubic root of 89635968 is about 447.5354453162.

It can be divided in two parts, 896 and 35968, that added together give a square (36864 = 192²).

The spelling of 89635968 in words is "eighty-nine million, six hundred thirty-five thousand, nine hundred sixty-eight".