11668140 has 144 divisors (see below), whose sum is σ = 39626496. Its totient is φ = 2755200.

The previous prime is 11668127. The next prime is 11668157. The reversal of 11668140 is 4186611.

It is a super-2 number, since 2×11668140² = 272290982119200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140539 + ... + 140621.

It is an arithmetic number, because the mean of its divisors is an integer number (275184).

Almost surely, 2^11668140 is an apocalyptic number.

11668140 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 11668140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248).

11668140 is an abundant number, since it is smaller than the sum of its proper divisors (27958356).

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

11668140 is a wasteful number, since it uses less digits than its factorization.

11668140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 175 counting only the distinct ones).

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

The square root of 11668140 is about 3415.8659224273. The cubic root of 11668140 is about 226.8126174592.

The spelling of 11668140 in words is "eleven million, six hundred sixty-eight thousand, one hundred forty".