11679201 has 16 divisors (see below), whose sum is σ = 17371200. Its totient is φ = 7755264.

The previous prime is 11679191. The next prime is 11679223. The reversal of 11679201 is 10297611.

11679201 = 339² + 340² + ... + 419².

11679201 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11679201 - 2⁵ = 11679169 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11679251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7585 + ... + 8993.

It is an arithmetic number, because the mean of its divisors is an integer number (1085700).

Almost surely, 2^11679201 is an apocalyptic number.

It is an amenable number.

11679201 is a deficient number, since it is larger than the sum of its proper divisors (5691999).

11679201 is a wasteful number, since it uses less digits than its factorization.

11679201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 11679201 is about 3417.4846012821. The cubic root of 11679201 is about 226.8842650407.

The spelling of 11679201 in words is "eleven million, six hundred seventy-nine thousand, two hundred one".