120587040 has 216 divisors, whose sum is σ = 478967580. Its totient is φ = 27546624.

The previous prime is 120587029. The next prime is 120587059. The reversal of 120587040 is 40785021.

It can be written as a sum of positive squares in 2 ways, for example, as 113806224 + 6780816 = 10668^2 + 2604^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120586995 and 120587013.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69706 + ... + 71414.

Almost surely, 2^120587040 is an apocalyptic number.

120587040 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 120587040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239483790).

120587040 is an abundant number, since it is smaller than the sum of its proper divisors (358380540).

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

120587040 is a wasteful number, since it uses less digits than its factorization.

120587040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 120587040 is about 10981.2130477466. The cubic root of 120587040 is about 494.0454208156.

The spelling of 120587040 in words is "one hundred twenty million, five hundred eighty-seven thousand, forty".