1106640 has 120 divisors (see below), whose sum is σ = 3917160. Its totient is φ = 279552.

The previous prime is 1106629. The next prime is 1106653. The reversal of 1106640 is 466011.

Added to its reverse (466011) it gives a triangular number (1572651 = T₁₇₇₃).

1106640 is a `hidden beast` number, since 1 + 1 + 0 + 664 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 207936 + 898704 = 456^2 + 948^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 20854 + ... + 20906.

It is an arithmetic number, because the mean of its divisors is an integer number (32643).

2^1106640 is an apocalyptic number.

1106640 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 1106640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958580).

1106640 is an abundant number, since it is smaller than the sum of its proper divisors (2810520).

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

1106640 is a wasteful number, since it uses less digits than its factorization.

1106640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1106640 is about 1051.9695813093. The cubic root of 1106640 is about 103.4353022811.

Adding to 1106640 its reverse (466011), we get a triangular number (1572651 = T₁₇₇₃).

The spelling of 1106640 in words is "one million, one hundred six thousand, six hundred forty".