1261068840 has 384 divisors, whose sum is σ = 4690483200. Its totient is φ = 292976640.

The previous prime is 1261068827. The next prime is 1261068847. The reversal of 1261068840 is 488601621.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1261068795 and 1261068804.

It is not an unprimeable number, because it can be changed into a prime (1261068847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40679625 + ... + 40679655.

It is an arithmetic number, because the mean of its divisors is an integer number (12214800).

Almost surely, 2^1261068840 is an apocalyptic number.

1261068840 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 1261068840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345241600).

1261068840 is an abundant number, since it is smaller than the sum of its proper divisors (3429414360).

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

1261068840 is a wasteful number, since it uses less digits than its factorization.

1261068840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1261068840 is about 35511.5310849870. The cubic root of 1261068840 is about 1080.3876180667.

The spelling of 1261068840 in words is "one billion, two hundred sixty-one million, sixty-eight thousand, eight hundred forty".