86233120 has 48 divisors (see below), whose sum is σ = 207590040. Its totient is φ = 33839104.

The previous prime is 86233073. The next prime is 86233139. The reversal of 86233120 is 2133268.

It can be written as a sum of positive squares in 4 ways, for example, as 85599504 + 633616 = 9252^2 + 796^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3396 + ... + 13564.

Almost surely, 2^86233120 is an apocalyptic number.

86233120 is a gapful number since it is divisible by the number (80) 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 86233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103795020).

86233120 is an abundant number, since it is smaller than the sum of its proper divisors (121356920).

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

86233120 is a wasteful number, since it uses less digits than its factorization.

86233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10237 (or 10229 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 86233120 is about 9286.1789773835. The cubic root of 86233120 is about 441.7989708456.

Adding to 86233120 its reverse (2133268), we get a palindrome (88366388).

The spelling of 86233120 in words is "eighty-six million, two hundred thirty-three thousand, one hundred twenty".