11868500 has 48 divisors (see below), whose sum is σ = 29632512. Its totient is φ = 4068000.

The previous prime is 11868481. The next prime is 11868509. The reversal of 11868500 is 586811.

It is a super-2 number, since 2×11868500² = 281722584500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11868509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1805 + ... + 5195.

It is an arithmetic number, because the mean of its divisors is an integer number (617344).

Almost surely, 2^11868500 is an apocalyptic number.

11868500 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 11868500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14816256).

11868500 is an abundant number, since it is smaller than the sum of its proper divisors (17764012).

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

11868500 is a wasteful number, since it uses less digits than its factorization.

11868500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 29.

The square root of 11868500 is about 3445.0689398037. The cubic root of 11868500 is about 228.1034976918.

The spelling of 11868500 in words is "eleven million, eight hundred sixty-eight thousand, five hundred".