89254968 has 64 divisors (see below), whose sum is σ = 248054400. Its totient is φ = 26532480.

The previous prime is 89254943. The next prime is 89254969. The reversal of 89254968 is 86945298.

It is a self number, because there is not a number n which added to its sum of digits gives 89254968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89254969) 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 15 ways as a sum of consecutive naturals, for example, 10803 + ... + 17181.

It is an arithmetic number, because the mean of its divisors is an integer number (3875850).

Almost surely, 2^89254968 is an apocalyptic number.

89254968 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 89254968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124027200).

89254968 is an abundant number, since it is smaller than the sum of its proper divisors (158799432).

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

89254968 is a wasteful number, since it uses less digits than its factorization.

89254968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6452 (or 6448 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 89254968 is about 9447.4847446291. The cubic root of 89254968 is about 446.9004577930.

The spelling of 89254968 in words is "eighty-nine million, two hundred fifty-four thousand, nine hundred sixty-eight".