1166105424 has 160 divisors (see below), whose sum is σ = 3419209728. Its totient is φ = 339264000.

The previous prime is 1166105407. The next prime is 1166105489. The reversal of 1166105424 is 4245016611.

It is a junction number, because it is equal to n+sod(n) for n = 1166105391 and 1166105400.

It is a congruent number.

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, 3126102 + ... + 3126474.

Almost surely, 2^1166105424 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 1166105424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709604864).

1166105424 is an abundant number, since it is smaller than the sum of its proper divisors (2253104304).

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

1166105424 is a wasteful number, since it uses less digits than its factorization.

1166105424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1166105424 is about 34148.2858134929. The cubic root of 1166105424 is about 1052.5577625086.

The spelling of 1166105424 in words is "one billion, one hundred sixty-six million, one hundred five thousand, four hundred twenty-four".