89518968 has 192 divisors, whose sum is σ = 308056320. Its totient is φ = 22809600.

The previous prime is 89518927. The next prime is 89518987. The reversal of 89518968 is 86981598.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 371328 + ... + 371568.

It is an arithmetic number, because the mean of its divisors is an integer number (1604460).

Almost surely, 2^89518968 is an apocalyptic number.

89518968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89518968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154028160).

89518968 is an abundant number, since it is smaller than the sum of its proper divisors (218537352).

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

89518968 is a wasteful number, since it uses less digits than its factorization.

89518968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 331 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 54.

The square root of 89518968 is about 9461.4464010531. The cubic root of 89518968 is about 447.3406409052.

The spelling of 89518968 in words is "eighty-nine million, five hundred eighteen thousand, nine hundred sixty-eight".