11714640 has 160 divisors (see below), whose sum is σ = 43806720. Its totient is φ = 2529792.

The previous prime is 11714639. The next prime is 11714663. The reversal of 11714640 is 4641711.

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 11714640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31737 + ... + 32103.

It is an arithmetic number, because the mean of its divisors is an integer number (273792).

Almost surely, 2^11714640 is an apocalyptic number.

11714640 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 11714640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21903360).

11714640 is an abundant number, since it is smaller than the sum of its proper divisors (32092080).

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

11714640 is a wasteful number, since it uses less digits than its factorization.

11714640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 11714640 is about 3422.6656278404. The cubic root of 11714640 is about 227.1135168101.

The spelling of 11714640 in words is "eleven million, seven hundred fourteen thousand, six hundred forty".