86252320 has 96 divisors (see below), whose sum is σ = 254088576. Its totient is φ = 26880000.

The previous prime is 86252273. The next prime is 86252321. The reversal of 86252320 is 2325268.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86252321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8820 + ... + 15820.

It is an arithmetic number, because the mean of its divisors is an integer number (2646756).

Almost surely, 2^86252320 is an apocalyptic number.

86252320 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 86252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127044288).

86252320 is an abundant number, since it is smaller than the sum of its proper divisors (167836256).

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

86252320 is a wasteful number, since it uses less digits than its factorization.

86252320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7034 (or 7026 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 86252320 is about 9287.2127142647. The cubic root of 86252320 is about 441.8317575938.

Adding to 86252320 its reverse (2325268), we get a palindrome (88577588).

The spelling of 86252320 in words is "eighty-six million, two hundred fifty-two thousand, three hundred twenty".