11606640 has 80 divisors (see below), whose sum is σ = 36345888. Its totient is φ = 3063808.

The previous prime is 11606633. The next prime is 11606677. The reversal of 11606640 is 4660611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11606640.

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, 32704 + ... + 33056.

Almost surely, 2^11606640 is an apocalyptic number.

11606640 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 11606640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18172944).

11606640 is an abundant number, since it is smaller than the sum of its proper divisors (24739248).

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

11606640 is a wasteful number, since it uses less digits than its factorization.

11606640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 11606640 is about 3406.8519192944. The cubic root of 11606640 is about 226.4134234363.

It can be divided in two parts, 11606 and 640, that added together give a triangular number (12246 = T₁₅₆).

The spelling of 11606640 in words is "eleven million, six hundred six thousand, six hundred forty".