11690640 has 120 divisors (see below), whose sum is σ = 42315000. Its totient is φ = 2875392.

The previous prime is 11690593. The next prime is 11690677. The reversal of 11690640 is 4609611.

11690640 is a `hidden beast` number, since 1 + 16 + 9 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76176 + 11614464 = 276^2 + 3408^2 .

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

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, 8736 + ... + 9984.

It is an arithmetic number, because the mean of its divisors is an integer number (352625).

Almost surely, 2^11690640 is an apocalyptic number.

11690640 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 11690640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21157500).

11690640 is an abundant number, since it is smaller than the sum of its proper divisors (30624360).

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

11690640 is a wasteful number, since it uses less digits than its factorization.

11690640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 11690640 is about 3419.1577910357. The cubic root of 11690640 is about 226.9583135494.

The spelling of 11690640 in words is "eleven million, six hundred ninety thousand, six hundred forty".