120824064 has 81 divisors (see below), whose sum is σ = 349893453. Its totient is φ = 40098816.

The previous prime is 120824057. The next prime is 120824069. The reversal of 120824064 is 460428021.

The square root of 120824064 is 10992.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 112529664 + 8294400 = 10608^2 + 2880^2 .

It is not an unprimeable number, because it can be changed into a prime (120824069) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 527502 + ... + 527730.

Almost surely, 2^120824064 is an apocalyptic number.

120824064 is the 10992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120824064

120824064 is an abundant number, since it is smaller than the sum of its proper divisors (229069389).

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

120824064 is an frugal number, since it uses more digits than its factorization.

120824064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The cubic root of 120824064 is about 494.3689049473.

The spelling of 120824064 in words is "one hundred twenty million, eight hundred twenty-four thousand, sixty-four".