1261828736 has 64 divisors (see below), whose sum is σ = 2881198080. Its totient is φ = 539225088.

The previous prime is 1261828721. The next prime is 1261828747. The reversal of 1261828736 is 6378281621.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341330 + ... + 345006.

It is an arithmetic number, because the mean of its divisors is an integer number (45018720).

Almost surely, 2^1261828736 is an apocalyptic number.

1261828736 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 1261828736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440599040).

1261828736 is an abundant number, since it is smaller than the sum of its proper divisors (1619369344).

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

1261828736 is an equidigital number, since it uses as much as digits as its factorization.

1261828736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4081 (or 4069 counting only the distinct ones).

The product of its digits is 193536, while the sum is 44.

The square root of 1261828736 is about 35522.2287589053. The cubic root of 1261828736 is about 1080.6045814753.

The spelling of 1261828736 in words is "one billion, two hundred sixty-one million, eight hundred twenty-eight thousand, seven hundred thirty-six".