1107666 has 48 divisors (see below), whose sum is σ = 2808000. Its totient is φ = 309024.

The previous prime is 1107619. The next prime is 1107677. The reversal of 1107666 is 6667011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7360 + ... + 7508.

It is an arithmetic number, because the mean of its divisors is an integer number (58500).

2^1107666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1107666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404000).

1107666 is an abundant number, since it is smaller than the sum of its proper divisors (1700334).

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

1107666 is a wasteful number, since it uses less digits than its factorization.

1107666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1107666 is about 1052.4571250175. The cubic root of 1107666 is about 103.4672584246.

It can be divided in two parts, 110 and 7666, that added together give a 5-th power (7776 = 6⁵).

The spelling of 1107666 in words is "one million, one hundred seven thousand, six hundred sixty-six".