11716640 has 96 divisors (see below), whose sum is σ = 30735936. Its totient is φ = 4193280.

The previous prime is 11716613. The next prime is 11716669. The reversal of 11716640 is 4661711.

11716640 is a nontrivial binomial coefficient, being equal to C(131, 4).

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 89375 + ... + 89505.

It is an arithmetic number, because the mean of its divisors is an integer number (320166).

Almost surely, 2^11716640 is an apocalyptic number.

11716640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11716640 is the 2795-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11716640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15367968).

11716640 is an abundant number, since it is smaller than the sum of its proper divisors (19019296).

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

11716640 is a wasteful number, since it uses less digits than its factorization.

11716640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 11716640 is about 3422.9577853079. The cubic root of 11716640 is about 227.1264408433.

The spelling of 11716640 in words is "eleven million, seven hundred sixteen thousand, six hundred forty".