1009556240 has 240 divisors, whose sum is σ = 3020806656. Its totient is φ = 307000320.

The previous prime is 1009556239. The next prime is 1009556263. The reversal of 1009556240 is 426559001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1009556197 and 1009556206.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3184562 + ... + 3184878.

Almost surely, 2^1009556240 is an apocalyptic number.

1009556240 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 1009556240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510403328).

1009556240 is an abundant number, since it is smaller than the sum of its proper divisors (2011250416).

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

1009556240 is a wasteful number, since it uses less digits than its factorization.

1009556240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 1009556240 is about 31773.5147567908. The cubic root of 1009556240 is about 1003.1753200043.

The spelling of 1009556240 in words is "one billion, nine million, five hundred fifty-six thousand, two hundred forty".