86264360 has 96 divisors (see below), whose sum is σ = 240330240. Its totient is φ = 27286272.

The previous prime is 86264333. The next prime is 86264371. The reversal of 86264360 is 6346268.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 86264360.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46409 + ... + 48231.

It is an arithmetic number, because the mean of its divisors is an integer number (2503440).

Almost surely, 2^86264360 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 86264360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120165120).

86264360 is an abundant number, since it is smaller than the sum of its proper divisors (154065880).

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

86264360 is a wasteful number, since it uses less digits than its factorization.

86264360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 86264360 is about 9287.8608947378. The cubic root of 86264360 is about 441.8523151350.

The spelling of 86264360 in words is "eighty-six million, two hundred sixty-four thousand, three hundred sixty".