1166107904 has 144 divisors (see below), whose sum is σ = 2637250560. Its totient is φ = 510935040.

The previous prime is 1166107883. The next prime is 1166107909. The reversal of 1166107904 is 4097016611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166107909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9181889 + ... + 9182015.

It is an arithmetic number, because the mean of its divisors is an integer number (18314240).

Almost surely, 2^1166107904 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 1166107904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318625280).

1166107904 is an abundant number, since it is smaller than the sum of its proper divisors (1471142656).

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

1166107904 is a wasteful number, since it uses less digits than its factorization.

1166107904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 1166107904 is about 34148.3221256916. The cubic root of 1166107904 is about 1052.5585086794.

The spelling of 1166107904 in words is "one billion, one hundred sixty-six million, one hundred seven thousand, nine hundred four".