1260514080 has 288 divisors, whose sum is σ = 5130687744. Its totient is φ = 275539968.

The previous prime is 1260514067. The next prime is 1260514091. The reversal of 1260514080 is 804150621.

1260514080 is a `hidden beast` number, since 12 + 60 + 514 + 0 + 80 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 229122 + ... + 234558.

It is an arithmetic number, because the mean of its divisors is an integer number (17814888).

Almost surely, 2^1260514080 is an apocalyptic number.

1260514080 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 1260514080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565343872).

1260514080 is an abundant number, since it is smaller than the sum of its proper divisors (3870173664).

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

1260514080 is a wasteful number, since it uses less digits than its factorization.

1260514080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5488 (or 5477 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1260514080 is about 35503.7192417921. The cubic root of 1260514080 is about 1080.2291694752.

The spelling of 1260514080 in words is "one billion, two hundred sixty million, five hundred fourteen thousand, eighty".