1167790806 has 192 divisors, whose sum is σ = 3312691200. Its totient is φ = 288707328.

The previous prime is 1167790783. The next prime is 1167790807. The reversal of 1167790806 is 6080977611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1167790807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4886035 + ... + 4886273.

It is an arithmetic number, because the mean of its divisors is an integer number (17253600).

Almost surely, 2^1167790806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1167790806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656345600).

1167790806 is an abundant number, since it is smaller than the sum of its proper divisors (2144900394).

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

1167790806 is a wasteful number, since it uses less digits than its factorization.

1167790806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 1167790806 is about 34172.9543060005. The cubic root of 1167790806 is about 1053.0646086065.

The spelling of 1167790806 in words is "one billion, one hundred sixty-seven million, seven hundred ninety thousand, eight hundred six".