120366064 has 120 divisors (see below), whose sum is σ = 304251360. Its totient is φ = 44914176.

The previous prime is 120366053. The next prime is 120366067. The reversal of 120366064 is 460663021.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120366067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525502 + ... + 525730.

It is an arithmetic number, because the mean of its divisors is an integer number (2535428).

Almost surely, 2^120366064 is an apocalyptic number.

120366064 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 120366064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152125680).

120366064 is an abundant number, since it is smaller than the sum of its proper divisors (183885296).

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

120366064 is a wasteful number, since it uses less digits than its factorization.

120366064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 120366064 is about 10971.1468862649. The cubic root of 120366064 is about 493.7434565388.

The spelling of 120366064 in words is "one hundred twenty million, three hundred sixty-six thousand, sixty-four".