86322960 has 120 divisors (see below), whose sum is σ = 292742424. Its totient is φ = 22794240.

The previous prime is 86322953. The next prime is 86322967. The reversal of 86322960 is 6922368.

It is an interprime number because it is at equal distance from previous prime (86322953) and next prime (86322967).

It can be written as a sum of positive squares in 4 ways, for example, as 501264 + 85821696 = 708^2 + 9264^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86322967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80830 + ... + 81890.

Almost surely, 2^86322960 is an apocalyptic number.

86322960 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 86322960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146371212).

86322960 is an abundant number, since it is smaller than the sum of its proper divisors (206419464).

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

86322960 is a wasteful number, since it uses less digits than its factorization.

86322960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 86322960 is about 9291.0150145181. The cubic root of 86322960 is about 441.9523436399.

The spelling of 86322960 in words is "eighty-six million, three hundred twenty-two thousand, nine hundred sixty".