8191104 has 64 divisors (see below), whose sum is σ = 22105440. Its totient is φ = 2686976.

The previous prime is 8191091. The next prime is 8191123. The reversal of 8191104 is 4011918.

8191104 = 950² + 951² + ... + 958².

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam 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, 31744 + ... + 32000.

Almost surely, 2^8191104 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 8191104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11052720).

8191104 is an abundant number, since it is smaller than the sum of its proper divisors (13914336).

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

8191104 is a wasteful number, since it uses less digits than its factorization.

8191104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 8191104 is about 2862.0104821611. The cubic root of 8191104 is about 201.5800181758.

Adding to 8191104 its sum of digits (24), we get a triangular number (8191128 = T₄₀₄₇).

The spelling of 8191104 in words is "eight million, one hundred ninety-one thousand, one hundred four".