1261323360 has 576 divisors, whose sum is σ = 5148057600. Its totient is φ = 287400960.

The previous prime is 1261323337. The next prime is 1261323409. The reversal of 1261323360 is 633231621.

It is a happy number.

1261323360 is a `hidden beast` number, since 12 + 613 + 2 + 3 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9931617 + ... + 9931743.

It is an arithmetic number, because the mean of its divisors is an integer number (8937600).

Almost surely, 2^1261323360 is an apocalyptic number.

1261323360 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 1261323360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574028800).

1261323360 is an abundant number, since it is smaller than the sum of its proper divisors (3886734240).

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

1261323360 is a wasteful number, since it uses less digits than its factorization.

1261323360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 1261323360 is about 35515.1145288876. The cubic root of 1261323360 is about 1080.4602976198.

Adding to 1261323360 its reverse (633231621), we get a palindrome (1894554981).

The spelling of 1261323360 in words is "one billion, two hundred sixty-one million, three hundred twenty-three thousand, three hundred sixty".