120083580 has 192 divisors, whose sum is σ = 402554880. Its totient is φ = 29611008.

The previous prime is 120083569. The next prime is 120083581. The reversal of 120083580 is 85380021.

It is a happy number.

120083580 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 83 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120083581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 945477 + ... + 945603.

It is an arithmetic number, because the mean of its divisors is an integer number (2096640).

Almost surely, 2^120083580 is an apocalyptic number.

120083580 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 120083580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201277440).

120083580 is an abundant number, since it is smaller than the sum of its proper divisors (282471300).

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

120083580 is a wasteful number, since it uses less digits than its factorization.

120083580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 120083580 is about 10958.2653736803. The cubic root of 120083580 is about 493.3569027373.

The spelling of 120083580 in words is "one hundred twenty million, eighty-three thousand, five hundred eighty".