1282686720 has 432 divisors, whose sum is σ = 5058311328. Its totient is φ = 275251200.

The previous prime is 1282686709. The next prime is 1282686767. The reversal of 1282686720 is 276862821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 3198520 + ... + 3198920.

It is an arithmetic number, because the mean of its divisors is an integer number (11709054).

Almost surely, 2^1282686720 is an apocalyptic number.

1282686720 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 1282686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529155664).

1282686720 is an abundant number, since it is smaller than the sum of its proper divisors (3775624608).

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

1282686720 is a wasteful number, since it uses less digits than its factorization.

1282686720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 1282686720 is about 35814.6160107853. The cubic root of 1282686720 is about 1086.5261907479.

The spelling of 1282686720 in words is "one billion, two hundred eighty-two million, six hundred eighty-six thousand, seven hundred twenty".