1260020736 has 198 divisors, whose sum is σ = 3944548530. Its totient is φ = 387219456.

The previous prime is 1260020731. The next prime is 1260020767. The reversal of 1260020736 is 6370200621.

It is a happy number.

1260020736 is a `hidden beast` number, since 1 + 2 + 600 + 20 + 7 + 36 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 58982400 + 1201038336 = 7680^2 + 34656^2 .

It is not an unprimeable number, because it can be changed into a prime (1260020731) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1557100 + ... + 1557908.

Almost surely, 2^1260020736 is an apocalyptic number.

1260020736 is a gapful number since it is divisible by the number (16) 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 1260020736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972274265).

1260020736 is an abundant number, since it is smaller than the sum of its proper divisors (2684527794).

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

1260020736 is a wasteful number, since it uses less digits than its factorization.

1260020736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1260020736 is about 35496.7707827064. The cubic root of 1260020736 is about 1080.0882232457.

The spelling of 1260020736 in words is "one billion, two hundred sixty million, twenty thousand, seven hundred thirty-six".