8387904 has 84 divisors (see below), whose sum is σ = 25688544. Its totient is φ = 2366208.

The previous prime is 8387891. The next prime is 8387917. The reversal of 8387904 is 4097838.

It is an interprime number because it is at equal distance from previous prime (8387891) and next prime (8387917).

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106137 + ... + 106215.

It is an arithmetic number, because the mean of its divisors is an integer number (305816).

Almost surely, 2^8387904 is an apocalyptic number.

8387904 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8387904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12844272).

8387904 is an abundant number, since it is smaller than the sum of its proper divisors (17300640).

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

8387904 is an equidigital number, since it uses as much as digits as its factorization.

8387904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 8387904 is about 2896.1878392121. The cubic root of 8387904 is about 203.1816504397.

Multiplying 8387904 by its product of nonzero digits (48384), we get a square (405840347136 = 637056²).

The spelling of 8387904 in words is "eight million, three hundred eighty-seven thousand, nine hundred four".