1106662656 has 144 divisors (see below), whose sum is σ = 3247409088. Its totient is φ = 331776000.

The previous prime is 1106662603. The next prime is 1106662703. The reversal of 1106662656 is 6562666011.

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, 852600 + ... + 853896.

It is an arithmetic number, because the mean of its divisors is an integer number (22551452).

Almost surely, 2^1106662656 is an apocalyptic number.

1106662656 is a gapful number since it is divisible by the number (16) 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 1106662656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623704544).

1106662656 is an abundant number, since it is smaller than the sum of its proper divisors (2140746432).

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

1106662656 is a wasteful number, since it uses less digits than its factorization.

1106662656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 1106662656 is about 33266.5395855956. The cubic root of 1106662656 is about 1034.3600814574.

The spelling of 1106662656 in words is "one billion, one hundred six million, six hundred sixty-two thousand, six hundred fifty-six".