120564024 has 64 divisors (see below), whose sum is σ = 351820800. Its totient is φ = 33711744.

The previous prime is 120564023. The next prime is 120564079. The reversal of 120564024 is 420465021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 120563985 and 120564003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120564023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262 + ... + 15530.

It is an arithmetic number, because the mean of its divisors is an integer number (5497200).

Almost surely, 2^120564024 is an apocalyptic number.

120564024 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 120564024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175910400).

120564024 is an abundant number, since it is smaller than the sum of its proper divisors (231256776).

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

120564024 is a wasteful number, since it uses less digits than its factorization.

120564024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15332 (or 15328 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 120564024 is about 10980.1650260823. The cubic root of 120564024 is about 494.0139866114.

The spelling of 120564024 in words is "one hundred twenty million, five hundred sixty-four thousand, twenty-four".