89641968 has 80 divisors (see below), whose sum is σ = 252129696. Its totient is φ = 27279360.

The previous prime is 89641963. The next prime is 89641999. The reversal of 89641968 is 86914698.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 89641968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89641961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59788 + ... + 61268.

Almost surely, 2^89641968 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 89641968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126064848).

89641968 is an abundant number, since it is smaller than the sum of its proper divisors (162487728).

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

89641968 is a wasteful number, since it uses less digits than its factorization.

89641968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1596 counting only the distinct ones).

The product of its digits is 746496, while the sum is 51.

The square root of 89641968 is about 9467.9442330424. The cubic root of 89641968 is about 447.5454307153.

It can be divided in two parts, 89641 and 968, that added together give a palindrome (90609).

The spelling of 89641968 in words is "eighty-nine million, six hundred forty-one thousand, nine hundred sixty-eight".