8142864 has 60 divisors (see below), whose sum is σ = 22383984. Its totient is φ = 2550272.

The previous prime is 8142857. The next prime is 8142907. The reversal of 8142864 is 4682418.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13579 + ... + 14165.

Almost surely, 2^8142864 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 8142864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11191992).

8142864 is an abundant number, since it is smaller than the sum of its proper divisors (14241120).

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

8142864 is a wasteful number, since it uses less digits than its factorization.

8142864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 609 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 8142864 is about 2853.5703951366. The cubic root of 8142864 is about 201.1835159684.

The spelling of 8142864 in words is "eight million, one hundred forty-two thousand, eight hundred sixty-four".