1261095360 has 672 divisors, whose sum is σ = 5253776640. Its totient is φ = 253919232.

The previous prime is 1261095349. The next prime is 1261095361. The reversal of 1261095360 is 635901621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261095361) by changing a digit.

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, 15193879 + ... + 15193961.

It is an arithmetic number, because the mean of its divisors is an integer number (7818120).

Almost surely, 2^1261095360 is an apocalyptic number.

1261095360 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 1261095360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626888320).

1261095360 is an abundant number, since it is smaller than the sum of its proper divisors (3992681280).

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

1261095360 is a wasteful number, since it uses less digits than its factorization.

1261095360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 1261095360 is about 35511.9044828632. The cubic root of 1261095360 is about 1080.3951914515.

Adding to 1261095360 its reverse (635901621), we get a palindrome (1896996981).

The spelling of 1261095360 in words is "one billion, two hundred sixty-one million, ninety-five thousand, three hundred sixty".