89563968 has 168 divisors, whose sum is σ = 287353248. Its totient is φ = 27495936.

The previous prime is 89563963. The next prime is 89563987. The reversal of 89563968 is 86936598.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89563963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201955 + ... + 202397.

It is an arithmetic number, because the mean of its divisors is an integer number (1710436).

Almost surely, 2^89563968 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 89563968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143676624).

89563968 is an abundant number, since it is smaller than the sum of its proper divisors (197789280).

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

89563968 is a wasteful number, since it uses less digits than its factorization.

89563968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 461 counting only the distinct ones).

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

The square root of 89563968 is about 9463.8241741909. The cubic root of 89563968 is about 447.4155857545.

The spelling of 89563968 in words is "eighty-nine million, five hundred sixty-three thousand, nine hundred sixty-eight".