120617280 has 336 divisors, whose sum is σ = 491971584. Its totient is φ = 26542080.

The previous prime is 120617239. The next prime is 120617281. The reversal of 120617280 is 82716021.

120617280 is a `hidden beast` number, since 1 + 20 + 617 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120617281) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 624864 + ... + 625056.

Almost surely, 2^120617280 is an apocalyptic number.

120617280 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 120617280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245985792).

120617280 is an abundant number, since it is smaller than the sum of its proper divisors (371354304).

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

120617280 is a wasteful number, since it uses less digits than its factorization.

120617280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 120617280 is about 10982.5898584988. The cubic root of 120617280 is about 494.0867151505.

The spelling of 120617280 in words is "one hundred twenty million, six hundred seventeen thousand, two hundred eighty".