120305664 has 144 divisors (see below), whose sum is σ = 356461560. Its totient is φ = 39075840.

The previous prime is 120305657. The next prime is 120305671. The reversal of 120305664 is 466503021.

It is an interprime number because it is at equal distance from previous prime (120305657) and next prime (120305671).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1124299 + ... + 1124405.

Almost surely, 2^120305664 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 120305664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178230780).

120305664 is an abundant number, since it is smaller than the sum of its proper divisors (236155896).

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

120305664 is a wasteful number, since it uses less digits than its factorization.

120305664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 120305664 is about 10968.3938660134. The cubic root of 120305664 is about 493.6608554760.

Adding to 120305664 its reverse (466503021), we get a palindrome (586808685).

The spelling of 120305664 in words is "one hundred twenty million, three hundred five thousand, six hundred sixty-four".