11689920 has 280 divisors, whose sum is σ = 46469808. Its totient is φ = 2764800.

The previous prime is 11689919. The next prime is 11689939. The reversal of 11689920 is 2998611.

11689920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 285100 + ... + 285140.

Almost surely, 2^11689920 is an apocalyptic number.

11689920 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 11689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23234904).

11689920 is an abundant number, since it is smaller than the sum of its proper divisors (34779888).

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

11689920 is a wasteful number, since it uses less digits than its factorization.

11689920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 11689920 is about 3419.0525003281. The cubic root of 11689920 is about 226.9536541711.

The spelling of 11689920 in words is "eleven million, six hundred eighty-nine thousand, nine hundred twenty".