120309768 has 48 divisors (see below), whose sum is σ = 329022720. Its totient is φ = 39711456.

The previous prime is 120309737. The next prime is 120309781. The reversal of 120309768 is 867903021.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 696 + ... + 15527.

It is an arithmetic number, because the mean of its divisors is an integer number (6854640).

Almost surely, 2^120309768 is an apocalyptic number.

120309768 is a gapful number since it is divisible by the number (18) 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 120309768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164511360).

120309768 is an abundant number, since it is smaller than the sum of its proper divisors (208712952).

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

120309768 is a wasteful number, since it uses less digits than its factorization.

120309768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16338 (or 16331 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 120309768 is about 10968.5809474152. The cubic root of 120309768 is about 493.6664688474. Note that the first 3 decimals are identical.

The spelling of 120309768 in words is "one hundred twenty million, three hundred nine thousand, seven hundred sixty-eight".