11668400 has 60 divisors (see below), whose sum is σ = 28968384. Its totient is φ = 4512000.

The previous prime is 11668399. The next prime is 11668403. The reversal of 11668400 is 486611.

It is a self number, because there is not a number n which added to its sum of digits gives 11668400.

It is not an unprimeable number, because it can be changed into a prime (11668403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11930 + ... + 12870.

Almost surely, 2^11668400 is an apocalyptic number.

11668400 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 11668400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14484192).

11668400 is an abundant number, since it is smaller than the sum of its proper divisors (17299984).

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

11668400 is a wasteful number, since it uses less digits than its factorization.

11668400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 11668400 is about 3415.9039799151. The cubic root of 11668400 is about 226.8143021276.

The spelling of 11668400 in words is "eleven million, six hundred sixty-eight thousand, four hundred".