120817840 has 160 divisors (see below), whose sum is σ = 337478400. Its totient is φ = 39644160.

The previous prime is 120817783. The next prime is 120817843. The reversal of 120817840 is 48718021.

It is not an unprimeable number, because it can be changed into a prime (120817843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 674871 + ... + 675049.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 2^120817840 is an apocalyptic number.

120817840 is a gapful number since it is divisible by the number (10) 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 120817840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

120817840 is an abundant number, since it is smaller than the sum of its proper divisors (216660560).

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

120817840 is a wasteful number, since it uses less digits than its factorization.

120817840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 120817840 is about 10991.7168813612. The cubic root of 120817840 is about 494.3604160067.

The spelling of 120817840 in words is "one hundred twenty million, eight hundred seventeen thousand, eight hundred forty".