1260645120 has 504 divisors, whose sum is σ = 5200966176. Its totient is φ = 286654464.

The previous prime is 1260645049. The next prime is 1260645143. The reversal of 1260645120 is 215460621.

1260645120 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 645 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×1260645120² = 3178452237159628800, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6531744 + ... + 6531936.

Almost surely, 2^1260645120 is an apocalyptic number.

1260645120 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 1260645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600483088).

1260645120 is an abundant number, since it is smaller than the sum of its proper divisors (3940321056).

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

1260645120 is an frugal number, since it uses more digits than its factorization.

1260645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1260645120 is about 35505.5646342936. The cubic root of 1260645120 is about 1080.2666008501.

The spelling of 1260645120 in words is "one billion, two hundred sixty million, six hundred forty-five thousand, one hundred twenty".