1260572040 has 576 divisors, whose sum is σ = 5377881600. Its totient is φ = 253338624.

The previous prime is 1260572023. The next prime is 1260572041. The reversal of 1260572040 is 402750621.

1260572040 is a `hidden beast` number, since 12 + 605 + 7 + 2 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1260571995 and 1260572013.

It is not an unprimeable number, because it can be changed into a prime (1260572041) 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 143 ways as a sum of consecutive naturals, for example, 5274241 + ... + 5274479.

It is an arithmetic number, because the mean of its divisors is an integer number (9336600).

Almost surely, 2^1260572040 is an apocalyptic number.

1260572040 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 1260572040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688940800).

1260572040 is an abundant number, since it is smaller than the sum of its proper divisors (4117309560).

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

1260572040 is a wasteful number, since it uses less digits than its factorization.

1260572040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1260572040 is about 35504.5354849208. The cubic root of 1260572040 is about 1080.2457259802.

The spelling of 1260572040 in words is "one billion, two hundred sixty million, five hundred seventy-two thousand, forty".