120904 has 32 divisors (see below), whose sum is σ = 276480. Its totient is φ = 48384.

The previous prime is 120899. The next prime is 120907. The reversal of 120904 is 409021.

It is not an unprimeable number, because it can be changed into a prime (120907) by changing a digit.

120904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 889 + ... + 1015.

It is an arithmetic number, because the mean of its divisors is an integer number (8640).

2¹²⁰⁹⁰⁴ is an apocalyptic number.

120904 is a gapful number since it is divisible by the number (14) 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 120904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138240).

120904 is an abundant number, since it is smaller than the sum of its proper divisors (155576).

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

120904 is a wasteful number, since it uses less digits than its factorization.

120904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 120904 is about 347.7125249398. The cubic root of 120904 is about 49.4477904098.

Adding to 120904 its reverse (409021), we get a palindrome (529925).

It can be divided in two parts, 120 and 904, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 120904 in words is "one hundred twenty thousand, nine hundred four".