8014864 has 80 divisors (see below), whose sum is σ = 18998784. Its totient is φ = 3225600.

The previous prime is 8014847. The next prime is 8014891. The reversal of 8014864 is 4684108.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70872 + ... + 70984.

Almost surely, 2^8014864 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 8014864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9499392).

8014864 is an abundant number, since it is smaller than the sum of its proper divisors (10983920).

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

8014864 is a wasteful number, since it uses less digits than its factorization.

8014864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 8014864 is about 2831.0535141533. The cubic root of 8014864 is about 200.1237900310.

It can be divided in two parts, 801 and 4864, that added together give a palindrome (5665).

The spelling of 8014864 in words is "eight million, fourteen thousand, eight hundred sixty-four".