89316768 has 48 divisors (see below), whose sum is σ = 237444480. Its totient is φ = 29392896.

The previous prime is 89316767. The next prime is 89316809. The reversal of 89316768 is 86761398.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (89316761) 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 7 ways as a sum of consecutive naturals, for example, 1696 + ... + 13472.

It is an arithmetic number, because the mean of its divisors is an integer number (4946760).

Almost surely, 2^89316768 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 89316768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118722240).

89316768 is an abundant number, since it is smaller than the sum of its proper divisors (148127712).

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

89316768 is a wasteful number, since it uses less digits than its factorization.

89316768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11869 (or 11861 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 89316768 is about 9450.7548904836. The cubic root of 89316768 is about 447.0035783887.

The spelling of 89316768 in words is "eighty-nine million, three hundred sixteen thousand, seven hundred sixty-eight".