1282661880 has 192 divisors, whose sum is σ = 4205325600. Its totient is φ = 312560640.

The previous prime is 1282661867. The next prime is 1282661927. The reversal of 1282661880 is 881662821.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1255770 + ... + 1256790.

Almost surely, 2^1282661880 is an apocalyptic number.

1282661880 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 1282661880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102662800).

1282661880 is an abundant number, since it is smaller than the sum of its proper divisors (2922663720).

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

1282661880 is a wasteful number, since it uses less digits than its factorization.

1282661880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 1282661880 is about 35814.2692233138. The cubic root of 1282661880 is about 1086.5191769582.

The spelling of 1282661880 in words is "one billion, two hundred eighty-two million, six hundred sixty-one thousand, eight hundred eighty".