1105872768 has 576 divisors, whose sum is σ = 4380732720. Its totient is φ = 263208960.

The previous prime is 1105872767. The next prime is 1105872769. The reversal of 1105872768 is 8672785011.

It is a happy number.

1105872768 is a `hidden beast` number, since 1 + 1 + 0 + 587 + 2 + 7 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (1105872767) and next prime (1105872769).

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105872767) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8071996 + ... + 8072132.

Almost surely, 2^1105872768 is an apocalyptic number.

1105872768 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 1105872768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190366360).

1105872768 is an abundant number, since it is smaller than the sum of its proper divisors (3274859952).

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

1105872768 is a wasteful number, since it uses less digits than its factorization.

1105872768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 1105872768 is about 33254.6653569089. The cubic root of 1105872768 is about 1034.1139290353.

The spelling of 1105872768 in words is "one billion, one hundred five million, eight hundred seventy-two thousand, seven hundred sixty-eight".