86664456 has 48 divisors (see below), whose sum is σ = 237155100. Its totient is φ = 28588032.

The previous prime is 86664449. The next prime is 86664463. The reversal of 86664456 is 65446668.

It is an interprime number because it is at equal distance from previous prime (86664449) and next prime (86664463).

It can be written as a sum of positive squares in 2 ways, for example, as 77264100 + 9400356 = 8790^2 + 3066^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 780 + ... + 13188.

Almost surely, 2^86664456 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 86664456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118577550).

86664456 is an abundant number, since it is smaller than the sum of its proper divisors (150490644).

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

86664456 is a wasteful number, since it uses less digits than its factorization.

86664456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12518 (or 12511 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 86664456 is about 9309.3746299094. The cubic root of 86664456 is about 442.5343686798.

The spelling of 86664456 in words is "eighty-six million, six hundred sixty-four thousand, four hundred fifty-six".