8112640 has 40 divisors (see below), whose sum is σ = 19457460. Its totient is φ = 3244032.

The previous prime is 8112619. The next prime is 8112649. The reversal of 8112640 is 462118.

It can be written as a sum of positive squares in 2 ways, for example, as 8020224 + 92416 = 2832^2 + 304^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (8112649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 976 + ... + 4144.

Almost surely, 2^8112640 is an apocalyptic number.

8112640 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 8112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9728730).

8112640 is an abundant number, since it is smaller than the sum of its proper divisors (11344820).

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

8112640 is an equidigital number, since it uses as much as digits as its factorization.

8112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 8112640 is about 2848.2696501560. The cubic root of 8112640 is about 200.9342953316.

Adding to 8112640 its reverse (462118), we get a palindrome (8574758).

It can be divided in two parts, 81 and 12640, that added together give a palindrome (12721).

The spelling of 8112640 in words is "eight million, one hundred twelve thousand, six hundred forty".