1260556920 has 384 divisors, whose sum is σ = 4960051200. Its totient is φ = 271531008.

The previous prime is 1260556907. The next prime is 1260556981. The reversal of 1260556920 is 296550621.

1260556920 is a `hidden beast` number, since 12 + 6 + 0 + 556 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3434577 + ... + 3434943.

It is an arithmetic number, because the mean of its divisors is an integer number (12916800).

Almost surely, 2^1260556920 is an apocalyptic number.

1260556920 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 1260556920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480025600).

1260556920 is an abundant number, since it is smaller than the sum of its proper divisors (3699494280).

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

1260556920 is a wasteful number, since it uses less digits than its factorization.

1260556920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1260556920 is about 35504.3225537398. The cubic root of 1260556920 is about 1080.2414069409.

The spelling of 1260556920 in words is "one billion, two hundred sixty million, five hundred fifty-six thousand, nine hundred twenty".