119664 has 40 divisors (see below), whose sum is σ = 344720. Its totient is φ = 39744.

The previous prime is 119659. The next prime is 119671. The reversal of 119664 is 466911.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

119664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 294 + ... + 570.

It is an arithmetic number, because the mean of its divisors is an integer number (8618).

2¹¹⁹⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172360).

119664 is an abundant number, since it is smaller than the sum of its proper divisors (225056).

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

119664 is a wasteful number, since it uses less digits than its factorization.

119664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 282 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 119664 is about 345.9248473296. The cubic root of 119664 is about 49.2781624940.

The spelling of 119664 in words is "one hundred nineteen thousand, six hundred sixty-four".