89841312 has 240 divisors, whose sum is σ = 302968512. Its totient is φ = 25850880.

The previous prime is 89841293. The next prime is 89841337. The reversal of 89841312 is 21314898.

It is a super-2 number, since 2×89841312² = 16142922683762688, which contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 655708 + ... + 655844.

Almost surely, 2^89841312 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 89841312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151484256).

89841312 is an abundant number, since it is smaller than the sum of its proper divisors (213127200).

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

89841312 is a wasteful number, since it uses less digits than its factorization.

89841312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 176 counting only the distinct ones).

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

The square root of 89841312 is about 9478.4656986244. The cubic root of 89841312 is about 447.8769326076.

It can be divided in two parts, 8984 and 1312, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 89841312 in words is "eighty-nine million, eight hundred forty-one thousand, three hundred twelve".