120404064 has 192 divisors, whose sum is σ = 385378560. Its totient is φ = 32440320.

The previous prime is 120404059. The next prime is 120404101. The reversal of 120404064 is 460404021.

It is a self number, because there is not a number n which added to its sum of digits gives 120404064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340912 + ... + 341264.

It is an arithmetic number, because the mean of its divisors is an integer number (2007180).

Almost surely, 2^120404064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120404064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192689280).

120404064 is an abundant number, since it is smaller than the sum of its proper divisors (264974496).

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

120404064 is a wasteful number, since it uses less digits than its factorization.

120404064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 120404064 is about 10972.8785648981. The cubic root of 120404064 is about 493.7954099345.

Adding to 120404064 its reverse (460404021), we get a palindrome (580808085).

The spelling of 120404064 in words is "one hundred twenty million, four hundred four thousand, sixty-four".