89146512 has 120 divisors (see below), whose sum is σ = 307105344. Its totient is φ = 23507712.

The previous prime is 89146511. The next prime is 89146513. The reversal of 89146512 is 21564198.

It is an interprime number because it is at equal distance from previous prime (89146511) and next prime (89146513).

It is a super-2 number, since 2×89146512² = 15894201203532288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (89146511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9703 + ... + 16505.

Almost surely, 2^89146512 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 89146512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153552672).

89146512 is an abundant number, since it is smaller than the sum of its proper divisors (217958832).

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

89146512 is a wasteful number, since it uses less digits than its factorization.

89146512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6837 (or 6828 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 89146512 is about 9441.7430594144. The cubic root of 89146512 is about 446.7193710241.

The spelling of 89146512 in words is "eighty-nine million, one hundred forty-six thousand, five hundred twelve".