8087904 has 192 divisors, whose sum is σ = 27578880. Its totient is φ = 2280960.

The previous prime is 8087887. The next prime is 8087917. The reversal of 8087904 is 4097808.

It is a super-2 number, since 2×8087904² = 130828382226432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218574 + ... + 218610.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 2^8087904 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 8087904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

8087904 is an abundant number, since it is smaller than the sum of its proper divisors (19490976).

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

8087904 is a wasteful number, since it uses less digits than its factorization.

8087904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8087904 is about 2843.9240496188. The cubic root of 8087904 is about 200.7298665673.

The spelling of 8087904 in words is "eight million, eighty-seven thousand, nine hundred four".