1106761968 has 180 divisors, whose sum is σ = 3468047128. Its totient is φ = 340122240.

The previous prime is 1106761961. The next prime is 1106761973. The reversal of 1106761968 is 8691676011.

It is a super-2 number, since 2×1106761968² = 2449844107622466048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106761961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1364283 + ... + 1365093.

Almost surely, 2^1106761968 is an apocalyptic number.

1106761968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1106761968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734023564).

1106761968 is an abundant number, since it is smaller than the sum of its proper divisors (2361285160).

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

1106761968 is an frugal number, since it uses more digits than its factorization.

1106761968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1106761968 is about 33268.0322231418. The cubic root of 1106761968 is about 1034.3910217189.

The spelling of 1106761968 in words is "one billion, one hundred six million, seven hundred sixty-one thousand, nine hundred sixty-eight".