120064 has 36 divisors (see below), whose sum is σ = 277984. Its totient is φ = 50688.

The previous prime is 120049. The next prime is 120067. The reversal of 120064 is 460021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120067) 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, 1759 + ... + 1825.

2¹²⁰⁰⁶⁴ is an apocalyptic number.

120064 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 120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138992).

120064 is an abundant number, since it is smaller than the sum of its proper divisors (157920).

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

120064 is an frugal number, since it uses more digits than its factorization.

120064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 120064 is about 346.5025252433. The cubic root of 120064 is about 49.3330086822. Note that the first 3 decimals are identical.

Adding to 120064 its reverse (460021), we get a palindrome (580085).

The spelling of 120064 in words is "one hundred twenty thousand, sixty-four".