8007140 has 24 divisors (see below), whose sum is σ = 16973880. Its totient is φ = 3172608.

The previous prime is 8007127. The next prime is 8007143. The reversal of 8007140 is 417008.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 200704 + 7806436 = 448^2 + 2794^2 .

It is a super-2 number, since 2×8007140² = 128228581959200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8007143) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 344 + ... + 4016.

It is an arithmetic number, because the mean of its divisors is an integer number (707245).

Almost surely, 2^8007140 is an apocalyptic number.

It is an amenable number.

8007140 is an abundant number, since it is smaller than the sum of its proper divisors (8966740).

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

8007140 is a wasteful number, since it uses less digits than its factorization.

8007140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 8007140 is about 2829.6890288511. The cubic root of 8007140 is about 200.0594823075.

The spelling of 8007140 in words is "eight million, seven thousand, one hundred forty".