1260015900 has 288 divisors, whose sum is σ = 4472713728. Its totient is φ = 269491200.

The previous prime is 1260015893. The next prime is 1260015949. The reversal of 1260015900 is 95100621.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 986062 + ... + 987338.

It is an arithmetic number, because the mean of its divisors is an integer number (15530256).

Almost surely, 2^1260015900 is an apocalyptic number.

1260015900 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 1260015900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236356864).

1260015900 is an abundant number, since it is smaller than the sum of its proper divisors (3212697828).

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

1260015900 is a wasteful number, since it uses less digits than its factorization.

1260015900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 1260015900 is about 35496.7026637686. The cubic root of 1260015900 is about 1080.0868414395.

The spelling of 1260015900 in words is "one billion, two hundred sixty million, fifteen thousand, nine hundred".