8140000 has 120 divisors (see below), whose sum is σ = 22436568. Its totient is φ = 2880000.

The previous prime is 8139997. The next prime is 8140001. The reversal of 8140000 is 418.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8140001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219982 + ... + 220018.

Almost surely, 2^8140000 is an apocalyptic number.

8140000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11218284).

8140000 is an abundant number, since it is smaller than the sum of its proper divisors (14296568).

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

8140000 is a wasteful number, since it uses less digits than its factorization.

8140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 8140000 is about 2853.0685235374. The cubic root of 8140000 is about 201.1599265141.

Adding to 8140000 its reverse (418), we get a palindrome (8140418).

It can be divided in two parts, 81 and 40000, that multiplied together give a square (3240000 = 1800²).

The spelling of 8140000 in words is "eight million, one hundred forty thousand".