8087164 has 24 divisors (see below), whose sum is σ = 14823648. Its totient is φ = 3856320.

The previous prime is 8087153. The next prime is 8087203. The reversal of 8087164 is 4617808.

8087164 = T₄₇ + T₄₈ + ... + T₃₆₄.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7329 + ... + 8359.

It is an arithmetic number, because the mean of its divisors is an integer number (617652).

Almost surely, 2^8087164 is an apocalyptic number.

It is an amenable number.

8087164 is a deficient number, since it is larger than the sum of its proper divisors (6736484).

8087164 is a wasteful number, since it uses less digits than its factorization.

8087164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 8087164 is about 2843.7939447154. The cubic root of 8087164 is about 200.7237444771.

The spelling of 8087164 in words is "eight million, eighty-seven thousand, one hundred sixty-four".