120080580 has 96 divisors (see below), whose sum is σ = 344736000. Its totient is φ = 31223808.

The previous prime is 120080557. The next prime is 120080591. The reversal of 120080580 is 85080021.

It is a super-3 number, since 3×120080580³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120080580.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 603321 + ... + 603519.

It is an arithmetic number, because the mean of its divisors is an integer number (3591000).

Almost surely, 2^120080580 is an apocalyptic number.

120080580 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 120080580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368000).

120080580 is an abundant number, since it is smaller than the sum of its proper divisors (224655420).

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

120080580 is a wasteful number, since it uses less digits than its factorization.

120080580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 120080580 is about 10958.1284898472. The cubic root of 120080580 is about 493.3527942571.

The spelling of 120080580 in words is "one hundred twenty million, eighty thousand, five hundred eighty".