89146368 has 132 divisors (see below), whose sum is σ = 273028860. Its totient is φ = 27918336.

The previous prime is 89146363. The next prime is 89146373. The reversal of 89146368 is 86364198.

89146368 is a `hidden beast` number, since 8 + 9 + 1 + 4 + 636 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (89146363) and next prime (89146373).

It can be written as a sum of positive squares in 2 ways, for example, as 41370624 + 47775744 = 6432^2 + 6912^2 .

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 (89146363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156388 + ... + 156956.

Almost surely, 2^89146368 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 89146368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136514430).

89146368 is an abundant number, since it is smaller than the sum of its proper divisors (183882492).

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

89146368 is a wasteful number, since it uses less digits than its factorization.

89146368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 591 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 89146368 is about 9441.7354337007. The cubic root of 89146368 is about 446.7191304926.

The spelling of 89146368 in words is "eighty-nine million, one hundred forty-six thousand, three hundred sixty-eight".