8086464 has 84 divisors (see below), whose sum is σ = 23576280. Its totient is φ = 2649600.

The previous prime is 8086459. The next prime is 8086469. The reversal of 8086464 is 4646808.

8086464 is a `hidden beast` number, since 8 + 0 + 8 + 646 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (8086459) and next prime (8086469).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8086469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58107 + ... + 58245.

It is an arithmetic number, because the mean of its divisors is an integer number (280670).

Almost surely, 2^8086464 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 8086464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11788140).

8086464 is an abundant number, since it is smaller than the sum of its proper divisors (15489816).

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

8086464 is a wasteful number, since it uses less digits than its factorization.

8086464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8086464 is about 2843.6708670309. The cubic root of 8086464 is about 200.7179529671.

The spelling of 8086464 in words is "eight million, eighty-six thousand, four hundred sixty-four".