11665920 has 240 divisors, whose sum is σ = 44782848. Its totient is φ = 2580480.

The previous prime is 11665903. The next prime is 11665931. The reversal of 11665920 is 2956611.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376305 + ... + 376335.

Almost surely, 2^11665920 is an apocalyptic number.

11665920 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 11665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22391424).

11665920 is an abundant number, since it is smaller than the sum of its proper divisors (33116928).

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

11665920 is an equidigital number, since it uses as much as digits as its factorization.

11665920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 11665920 is about 3415.5409527628. The cubic root of 11665920 is about 226.7982319630.

The spelling of 11665920 in words is "eleven million, six hundred sixty-five thousand, nine hundred twenty".