11679800 has 48 divisors (see below), whose sum is σ = 29629800. Its totient is φ = 4246400.

The previous prime is 11679797. The next prime is 11679847. The reversal of 11679800 is 897611.

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, 455 + ... + 4854.

Almost surely, 2^11679800 is an apocalyptic number.

11679800 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 11679800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14814900).

11679800 is an abundant number, since it is smaller than the sum of its proper divisors (17950000).

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

11679800 is a wasteful number, since it uses less digits than its factorization.

11679800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5336 (or 5327 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 32.

The square root of 11679800 is about 3417.5722377150. The cubic root of 11679800 is about 226.8881437692. Note that the first 3 decimals are identical.

The spelling of 11679800 in words is "eleven million, six hundred seventy-nine thousand, eight hundred".