11600640 has 216 divisors, whose sum is σ = 43046640. Its totient is φ = 2875392.

The previous prime is 11600629. The next prime is 11600707. The reversal of 11600640 is 4600611.

11600640 is a `hidden beast` number, since 1 + 1 + 600 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 218854 + ... + 218906.

It is an arithmetic number, because the mean of its divisors is an integer number (199290).

Almost surely, 2^11600640 is an apocalyptic number.

11600640 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 11600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21523320).

11600640 is an abundant number, since it is smaller than the sum of its proper divisors (31446000).

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

11600640 is a wasteful number, since it uses less digits than its factorization.

11600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 11600640 is about 3405.9712271245. The cubic root of 11600640 is about 226.3744022469.

The spelling of 11600640 in words is "eleven million, six hundred thousand, six hundred forty".