8136864 has 72 divisors (see below), whose sum is σ = 24373440. Its totient is φ = 2567808.

The previous prime is 8136859. The next prime is 8136881. The reversal of 8136864 is 4686318.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

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, 4729 + ... + 6215.

It is an arithmetic number, because the mean of its divisors is an integer number (338520).

Almost surely, 2^8136864 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 8136864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12186720).

8136864 is an abundant number, since it is smaller than the sum of its proper divisors (16236576).

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

8136864 is a wasteful number, since it uses less digits than its factorization.

8136864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1511 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 8136864 is about 2852.5188868788. The cubic root of 8136864 is about 201.1340903733.

It can be divided in two parts, 81 and 36864, that multiplied together give a 6-th power (2985984 = 12⁶).

The spelling of 8136864 in words is "eight million, one hundred thirty-six thousand, eight hundred sixty-four".