120390336 has 84 divisors (see below), whose sum is σ = 376467624. Its totient is φ = 36480000.

The previous prime is 120390331. The next prime is 120390367. The reversal of 120390336 is 633093021.

It is not an unprimeable number, because it can be changed into a prime (120390331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3165 + ... + 15836.

Almost surely, 2^120390336 is an apocalyptic number.

120390336 is a gapful number since it is divisible by the number (16) 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 120390336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188233812).

120390336 is an abundant number, since it is smaller than the sum of its proper divisors (256077288).

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

120390336 is a wasteful number, since it uses less digits than its factorization.

120390336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19030 (or 19017 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 120390336 is about 10972.2530047388. The cubic root of 120390336 is about 493.7766423481.

The spelling of 120390336 in words is "one hundred twenty million, three hundred ninety thousand, three hundred thirty-six".