1268483580 has 648 divisors, whose sum is σ = 5194137312. Its totient is φ = 249080832.

The previous prime is 1268483563. The next prime is 1268483581. The reversal of 1268483580 is 853848621.

1268483580 is a `hidden beast` number, since 1 + 2 + 68 + 4 + 8 + 3 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268483581) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 34283322 + ... + 34283358.

It is an arithmetic number, because the mean of its divisors is an integer number (8015644).

Almost surely, 2^1268483580 is an apocalyptic number.

1268483580 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 1268483580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597068656).

1268483580 is an abundant number, since it is smaller than the sum of its proper divisors (3925653732).

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

1268483580 is a wasteful number, since it uses less digits than its factorization.

1268483580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 1268483580 is about 35615.7771219441. Note that the first 3 decimals coincide. The cubic root of 1268483580 is about 1082.5009428100.

The spelling of 1268483580 in words is "one billion, two hundred sixty-eight million, four hundred eighty-three thousand, five hundred eighty".