1106566040 has 64 divisors (see below), whose sum is σ = 2643516000. Its totient is φ = 415438848.

The previous prime is 1106566031. The next prime is 1106566051. The reversal of 1106566040 is 406656011.

It is a junction number, because it is equal to n+sod(n) for n = 1106565994 and 1106566012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267911 + ... + 272009.

Almost surely, 2^1106566040 is an apocalyptic number.

1106566040 is a gapful number since it is divisible by the number (10) 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 1106566040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321758000).

1106566040 is an abundant number, since it is smaller than the sum of its proper divisors (1536949960).

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

1106566040 is a wasteful number, since it uses less digits than its factorization.

1106566040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4524 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 1106566040 is about 33265.0874040637. The cubic root of 1106566040 is about 1034.3299793477.

The spelling of 1106566040 in words is "one billion, one hundred six million, five hundred sixty-six thousand, forty".