119520 has 72 divisors (see below), whose sum is σ = 412776. Its totient is φ = 31488.

The previous prime is 119513. The next prime is 119533. The reversal of 119520 is 25911.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 119493 and 119502.

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, 1399 + ... + 1481.

It is an arithmetic number, because the mean of its divisors is an integer number (5733).

2¹¹⁹⁵²⁰ is an apocalyptic number.

119520 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 119520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206388).

119520 is an abundant number, since it is smaller than the sum of its proper divisors (293256).

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

119520 is a wasteful number, since it uses less digits than its factorization.

119520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 119520 is about 345.7166469813. The cubic root of 119520 is about 49.2583879484.

The spelling of 119520 in words is "one hundred nineteen thousand, five hundred twenty".