86128224 has 96 divisors (see below), whose sum is σ = 278288640. Its totient is φ = 22712832.

The previous prime is 86128219. The next prime is 86128241. The reversal of 86128224 is 42282168.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3807 + ... + 13665.

It is an arithmetic number, because the mean of its divisors is an integer number (2898840).

Almost surely, 2^86128224 is an apocalyptic number.

86128224 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86128224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139144320).

86128224 is an abundant number, since it is smaller than the sum of its proper divisors (192160416).

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

86128224 is a wasteful number, since it uses less digits than its factorization.

86128224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9892 (or 9884 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 86128224 is about 9280.5292952504. The cubic root of 86128224 is about 441.6197599329.

It can be divided in two parts, 8612 and 8224, that added together give a triangular number (16836 = T₁₈₃).

The spelling of 86128224 in words is "eighty-six million, one hundred twenty-eight thousand, two hundred twenty-four".