1260161280 has 288 divisors, whose sum is σ = 5111635200. Its totient is φ = 287981568.

The previous prime is 1260161267. The next prime is 1260161291. The reversal of 1260161280 is 821610621.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1260161280² = 3176012903222476800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239316 + ... + 244524.

Almost surely, 2^1260161280 is an apocalyptic number.

1260161280 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 1260161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555817600).

1260161280 is an abundant number, since it is smaller than the sum of its proper divisors (3851473920).

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

1260161280 is an equidigital number, since it uses as much as digits as its factorization.

1260161280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246 (or 5226 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1260161280 is about 35498.7504005423. The cubic root of 1260161280 is about 1080.1283798006.

The spelling of 1260161280 in words is "one billion, two hundred sixty million, one hundred sixty-one thousand, two hundred eighty".