86238144 has 84 divisors (see below), whose sum is σ = 261756144. Its totient is φ = 27052032.

The previous prime is 86238137. The next prime is 86238151. The reversal of 86238144 is 44183268.

It is an interprime number because it is at equal distance from previous prime (86238137) and next prime (86238151).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 a junction number, because it is equal to n+sod(n) for n = 86238099 and 86238108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5389 + ... + 14195.

Almost surely, 2^86238144 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 86238144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130878072).

86238144 is an abundant number, since it is smaller than the sum of its proper divisors (175518000).

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

86238144 is a wasteful number, since it uses less digits than its factorization.

86238144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8842 (or 8829 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 86238144 is about 9286.4494829833. The cubic root of 86238144 is about 441.8075505148.

The spelling of 86238144 in words is "eighty-six million, two hundred thirty-eight thousand, one hundred forty-four".