1260544320 has 336 divisors, whose sum is σ = 5117518848. Its totient is φ = 278691840.

The previous prime is 1260544319. The next prime is 1260544331. The reversal of 1260544320 is 234450621.

1260544320 is a `hidden beast` number, since 12 + 605 + 4 + 43 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 623952 + ... + 625968.

Almost surely, 2^1260544320 is an apocalyptic number.

1260544320 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 1260544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558759424).

1260544320 is an abundant number, since it is smaller than the sum of its proper divisors (3856974528).

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

1260544320 is a wasteful number, since it uses less digits than its factorization.

1260544320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1260544320 is about 35504.1451101136. The cubic root of 1260544320 is about 1080.2378077150.

Adding to 1260544320 its reverse (234450621), we get a palindrome (1494994941).

The spelling of 1260544320 in words is "one billion, two hundred sixty million, five hundred forty-four thousand, three hundred twenty".