1105664 has 36 divisors (see below), whose sum is σ = 2526384. Its totient is φ = 473088.

The previous prime is 1105661. The next prime is 1105669. The reversal of 1105664 is 4665011.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1484 + ... + 2100.

2^1105664 is an apocalyptic number.

1105664 is a gapful number since it is divisible by the number (14) 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 1105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263192).

1105664 is an abundant number, since it is smaller than the sum of its proper divisors (1420720).

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

1105664 is an frugal number, since it uses more digits than its factorization.

1105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1105664 is about 1051.5055872415. The cubic root of 1105664 is about 103.4048851180.

The spelling of 1105664 in words is "one million, one hundred five thousand, six hundred sixty-four".