120583440 has 120 divisors (see below), whose sum is σ = 406949400. Its totient is φ = 31997952.

The previous prime is 120583423. The next prime is 120583447. The reversal of 120583440 is 44385021.

It can be written as a sum of positive squares in 4 ways, for example, as 18249984 + 102333456 = 4272^2 + 10116^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (120583447) 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, 268336 + ... + 268784.

It is an arithmetic number, because the mean of its divisors is an integer number (3391245).

Almost surely, 2^120583440 is an apocalyptic number.

120583440 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 120583440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203474700).

120583440 is an abundant number, since it is smaller than the sum of its proper divisors (286365960).

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

120583440 is a wasteful number, since it uses less digits than its factorization.

120583440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 120583440 is about 10981.0491302061. The cubic root of 120583440 is about 494.0405043635.

The spelling of 120583440 in words is "one hundred twenty million, five hundred eighty-three thousand, four hundred forty".