1105674768 has 360 divisors, whose sum is σ = 3704762880. Its totient is φ = 306662400.

The previous prime is 1105674767. The next prime is 1105674797. The reversal of 1105674768 is 8674765011.

1105674768 is a `hidden beast` number, since 1 + 10 + 567 + 4 + 76 + 8 = 666.

It is a super-3 number, since 3×1105674768³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1105674767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12423268 + ... + 12423356.

It is an arithmetic number, because the mean of its divisors is an integer number (10291008).

Almost surely, 2^1105674768 is an apocalyptic number.

1105674768 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 1105674768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852381440).

1105674768 is an abundant number, since it is smaller than the sum of its proper divisors (2599088112).

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

1105674768 is a wasteful number, since it uses less digits than its factorization.

1105674768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1105674768 is about 33251.6881977442. The cubic root of 1105674768 is about 1034.0522080173.

The spelling of 1105674768 in words is "one billion, one hundred five million, six hundred seventy-four thousand, seven hundred sixty-eight".