120624 has 40 divisors (see below), whose sum is σ = 357120. Its totient is φ = 34368.

The previous prime is 120623. The next prime is 120641. The reversal of 120624 is 426021.

It is not an unprimeable number, because it can be changed into a prime (120623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (8928).

2¹²⁰⁶²⁴ is an apocalyptic number.

120624 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 120624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560).

120624 is an abundant number, since it is smaller than the sum of its proper divisors (236496).

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

120624 is a wasteful number, since it uses less digits than its factorization.

120624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 120624 is about 347.3096601018. The cubic root of 120624 is about 49.4095890732.

Adding to 120624 its reverse (426021), we get a palindrome (546645).

The spelling of 120624 in words is "one hundred twenty thousand, six hundred twenty-four".