8027040 has 96 divisors (see below), whose sum is σ = 28909440. Its totient is φ = 1833984.

The previous prime is 8027029. The next prime is 8027053. The reversal of 8027040 is 407208.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 8026998 and 8027016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2166 + ... + 4554.

It is an arithmetic number, because the mean of its divisors is an integer number (301140).

Almost surely, 2^8027040 is an apocalyptic number.

8027040 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 8027040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14454720).

8027040 is an abundant number, since it is smaller than the sum of its proper divisors (20882400).

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

8027040 is a wasteful number, since it uses less digits than its factorization.

8027040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 8027040 is about 2833.2031342634. The cubic root of 8027040 is about 200.2250799334.

The spelling of 8027040 in words is "eight million, twenty-seven thousand, forty".