120559680 has 168 divisors, whose sum is σ = 425205144. Its totient is φ = 31334400.

The previous prime is 120559669. The next prime is 120559687. The reversal of 120559680 is 86955021.

It is a happy number.

120559680 is a `hidden beast` number, since 1 + 20 + 559 + 6 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 788544 + 119771136 = 888^2 + 10944^2 .

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

It is not an unprimeable number, because it can be changed into a prime (120559687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117570 + ... + 118590.

It is an arithmetic number, because the mean of its divisors is an integer number (2530983).

Almost surely, 2^120559680 is an apocalyptic number.

120559680 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 120559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212602572).

120559680 is an abundant number, since it is smaller than the sum of its proper divisors (304645464).

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

120559680 is a wasteful number, since it uses less digits than its factorization.

120559680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 120559680 is about 10979.9672130658. The cubic root of 120559680 is about 494.0080533253.

The spelling of 120559680 in words is "one hundred twenty million, five hundred fifty-nine thousand, six hundred eighty".