120684816 has 200 divisors, whose sum is σ = 408348864. Its totient is φ = 33696000.

The previous prime is 120684803. The next prime is 120684821. The reversal of 120684816 is 618486021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 480691 + ... + 480941.

Almost surely, 2^120684816 is an apocalyptic number.

120684816 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 120684816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204174432).

120684816 is an abundant number, since it is smaller than the sum of its proper divisors (287664048).

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

120684816 is a wasteful number, since it uses less digits than its factorization.

120684816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 120684816 is about 10985.6641128336. The cubic root of 120684816 is about 494.1789142517.

The spelling of 120684816 in words is "one hundred twenty million, six hundred eighty-four thousand, eight hundred sixteen".