8007040 has 32 divisors (see below), whose sum is σ = 19143360. Its totient is φ = 3202560.

The previous prime is 8007019. The next prime is 8007047. The reversal of 8007040 is 407008.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×8007040² = 128225379123200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8006999 and 8007017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8007047) 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, 5616 + ... + 6895.

It is an arithmetic number, because the mean of its divisors is an integer number (598230).

Almost surely, 2^8007040 is an apocalyptic number.

8007040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8007040 is an abundant number, since it is smaller than the sum of its proper divisors (11136320).

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

8007040 is a wasteful number, since it uses less digits than its factorization.

8007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12530 (or 12518 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 8007040 is about 2829.6713590097. The cubic root of 8007040 is about 200.0586494662.

The spelling of 8007040 in words is "eight million, seven thousand, forty".