120410064 has 100 divisors (see below), whose sum is σ = 355279716. Its totient is φ = 39356928.

The previous prime is 120410053. The next prime is 120410093. The reversal of 120410064 is 460014021.

It can be written as a sum of positive squares in 2 ways, for example, as 37454400 + 82955664 = 6120^2 + 9108^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67812 + ... + 69564.

Almost surely, 2^120410064 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 120410064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177639858).

120410064 is an abundant number, since it is smaller than the sum of its proper divisors (234869652).

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

120410064 is a wasteful number, since it uses less digits than its factorization.

120410064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 120410064 is about 10973.1519628592. The cubic root of 120410064 is about 493.8036121030.

Adding to 120410064 its reverse (460014021), we get a palindrome (580424085).

The spelling of 120410064 in words is "one hundred twenty million, four hundred ten thousand, sixty-four".