1106947968 has 256 divisors, whose sum is σ = 3517155840. Its totient is φ = 301916160.

The previous prime is 1106947967. The next prime is 1106947973. The reversal of 1106947968 is 8697496011.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1106947968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106947967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7050546 + ... + 7050702.

It is an arithmetic number, because the mean of its divisors is an integer number (13738890).

Almost surely, 2^1106947968 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 1106947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758577920).

1106947968 is an abundant number, since it is smaller than the sum of its proper divisors (2410207872).

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

1106947968 is a wasteful number, since it uses less digits than its factorization.

1106947968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The square root of 1106947968 is about 33270.8275821327. The cubic root of 1106947968 is about 1034.4489643054.

The spelling of 1106947968 in words is "one billion, one hundred six million, nine hundred forty-seven thousand, nine hundred sixty-eight".