8007561414 has 24 divisors (see below), whose sum is σ = 17608670040. Its totient is φ = 2629348128.

The previous prime is 8007561371. The next prime is 8007561421. The reversal of 8007561414 is 4141657008.

It is a happy number.

8007561414 is a `hidden beast` number, since 80 + 0 + 7 + 561 + 4 + 14 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3318679 + ... + 3321090.

It is an arithmetic number, because the mean of its divisors is an integer number (733694585).

Almost surely, 2^8007561414 is an apocalyptic number.

8007561414 is an abundant number, since it is smaller than the sum of its proper divisors (9601108626).

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

8007561414 is a wasteful number, since it uses less digits than its factorization.

8007561414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6639844 (or 6639841 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 8007561414 is about 89484.9787059258. The cubic root of 8007561414 is about 2000.6299194133.

The spelling of 8007561414 in words is "eight billion, seven million, five hundred sixty-one thousand, four hundred fourteen".