8187864 has 64 divisors (see below), whose sum is σ = 21500640. Its totient is φ = 2595840.

The previous prime is 8187857. The next prime is 8187877. The reversal of 8187864 is 4687818.

It is a super-2 number, since 2×8187864² = 134082233764992, which contains 22 as substring.

It is an Ulam number.

Its product of digits (86016) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52074 + ... + 52230.

Almost surely, 2^8187864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8187864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10750320).

8187864 is an abundant number, since it is smaller than the sum of its proper divisors (13312776).

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

8187864 is a wasteful number, since it uses less digits than its factorization.

8187864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 256 counting only the distinct ones).

The product of its digits is 86016, while the sum is 42.

The square root of 8187864 is about 2861.4443905133. Note that the first 3 decimals coincide. The cubic root of 8187864 is about 201.5534362729.

The spelling of 8187864 in words is "eight million, one hundred eighty-seven thousand, eight hundred sixty-four".