89616768 has 128 divisors (see below), whose sum is σ = 255571200. Its totient is φ = 27740160.

The previous prime is 89616767. The next prime is 89616781. The reversal of 89616768 is 86761698.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 89616768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89616767) 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, 517930 + ... + 518102.

It is an arithmetic number, because the mean of its divisors is an integer number (1996650).

Almost surely, 2^89616768 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 89616768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127785600).

89616768 is an abundant number, since it is smaller than the sum of its proper divisors (165954432).

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

89616768 is a wasteful number, since it uses less digits than its factorization.

89616768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 268 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 89616768 is about 9466.6133331831. The cubic root of 89616768 is about 447.5034890441.

The spelling of 89616768 in words is "eighty-nine million, six hundred sixteen thousand, seven hundred sixty-eight".