11168640 has 192 divisors, whose sum is σ = 44235360. Its totient is φ = 2543616.

The previous prime is 11168629. The next prime is 11168653. The reversal of 11168640 is 4686111.

11168640 is a `hidden beast` number, since 1 + 1 + 16 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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, 40182 + ... + 40458.

Almost surely, 2^11168640 is an apocalyptic number.

11168640 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 11168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22117680).

11168640 is an abundant number, since it is smaller than the sum of its proper divisors (33066720).

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

11168640 is a wasteful number, since it uses less digits than its factorization.

11168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 294 counting only the distinct ones).

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

The square root of 11168640 is about 3341.9515256808. The cubic root of 11168640 is about 223.5287712762.

The spelling of 11168640 in words is "eleven million, one hundred sixty-eight thousand, six hundred forty".