120824 has 16 divisors (see below), whose sum is σ = 247320. Its totient is φ = 54880.

The previous prime is 120823. The next prime is 120829. The reversal of 120824 is 428021.

120824 = 2⁵ + 3⁵ + ... + 9⁵.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 599 + ... + 774.

2¹²⁰⁸²⁴ is an apocalyptic number.

It is an amenable number.

120824 is an abundant number, since it is smaller than the sum of its proper divisors (126496).

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

120824 is a wasteful number, since it uses less digits than its factorization.

120824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 120824 is about 347.5974683452. The cubic root of 120824 is about 49.4368817659.

Adding to 120824 its reverse (428021), we get a palindrome (548845).

The spelling of 120824 in words is "one hundred twenty thousand, eight hundred twenty-four".