1105967408 has 160 divisors (see below), whose sum is σ = 2759823360. Its totient is φ = 417623040.

The previous prime is 1105967383. The next prime is 1105967417. The reversal of 1105967408 is 8047695011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4829438 + ... + 4829666.

It is an arithmetic number, because the mean of its divisors is an integer number (17248896).

Almost surely, 2^1105967408 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 1105967408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379911680).

1105967408 is an abundant number, since it is smaller than the sum of its proper divisors (1653855952).

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

1105967408 is a wasteful number, since it uses less digits than its factorization.

1105967408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 41.

The square root of 1105967408 is about 33256.0882847036. The cubic root of 1105967408 is about 1034.1434278328.

The spelling of 1105967408 in words is "one billion, one hundred five million, nine hundred sixty-seven thousand, four hundred eight".