11816640 has 168 divisors, whose sum is σ = 44458128. Its totient is φ = 2856960.

The previous prime is 11816591. The next prime is 11816647. The reversal of 11816640 is 4661811.

11816640 is a `hidden beast` number, since 1 + 1 + 8 + 16 + 640 = 666.

It is not an unprimeable number, because it can be changed into a prime (11816647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31494 + ... + 31866.

Almost surely, 2^11816640 is an apocalyptic number.

11816640 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 11816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22229064).

11816640 is an abundant number, since it is smaller than the sum of its proper divisors (32641488).

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

11816640 is a wasteful number, since it uses less digits than its factorization.

11816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11816640 is about 3437.5339998319. The cubic root of 11816640 is about 227.7707760864.

The spelling of 11816640 in words is "eleven million, eight hundred sixteen thousand, six hundred forty".