8142912 has 84 divisors (see below), whose sum is σ = 23800816. Its totient is φ = 2661120.

The previous prime is 8142907. The next prime is 8142917. The reversal of 8142912 is 2192418.

8142912 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8142907) and next prime (8142917).

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

It is not an unprimeable number, because it can be changed into a prime (8142917) by changing a digit.

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, 38487 + ... + 38697.

Almost surely, 2^8142912 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 8142912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11900408).

8142912 is an abundant number, since it is smaller than the sum of its proper divisors (15657904).

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

8142912 is a wasteful number, since it uses less digits than its factorization.

8142912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 283 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 8142912 is about 2853.5788056404. The cubic root of 8142912 is about 201.1839112753.

The spelling of 8142912 in words is "eight million, one hundred forty-two thousand, nine hundred twelve".