11987800 has 48 divisors (see below), whose sum is σ = 30411000. Its totient is φ = 4358400.

The previous prime is 11987783. The next prime is 11987837. The reversal of 11987800 is 878911.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 525 + ... + 4924.

Almost surely, 2^11987800 is an apocalyptic number.

11987800 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 11987800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15205500).

11987800 is an abundant number, since it is smaller than the sum of its proper divisors (18423200).

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

11987800 is a wasteful number, since it uses less digits than its factorization.

11987800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5476 (or 5467 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 34.

The square root of 11987800 is about 3462.3402490223. The cubic root of 11987800 is about 228.8652360152.

Subtracting from 11987800 its reverse (878911), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 1198 and 7800, that added together give a palindrome (8998).

The spelling of 11987800 in words is "eleven million, nine hundred eighty-seven thousand, eight hundred".