89311248 has 280 divisors, whose sum is σ = 303591680. Its totient is φ = 25194240.

The previous prime is 89311247. The next prime is 89311249. The reversal of 89311248 is 84211398.

It is an interprime number because it is at equal distance from previous prime (89311247) and next prime (89311249).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (89311241) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2880993 + ... + 2881023.

It is an arithmetic number, because the mean of its divisors is an integer number (1084256).

Almost surely, 2^89311248 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 89311248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151795840).

89311248 is an abundant number, since it is smaller than the sum of its proper divisors (214280432).

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

89311248 is a wasteful number, since it uses less digits than its factorization.

89311248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 68 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 89311248 is about 9450.4628458081. The cubic root of 89311248 is about 446.9943695521.

The spelling of 89311248 in words is "eighty-nine million, three hundred eleven thousand, two hundred forty-eight".