1282062816 has 120 divisors (see below), whose sum is σ = 3781373904. Its totient is φ = 426124800.

The previous prime is 1282062799. The next prime is 1282062823. The reversal of 1282062816 is 6182602821.

1282062816 is a `hidden beast` number, since 1 + 2 + 8 + 20 + 628 + 1 + 6 = 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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1557381 + ... + 1558203.

Almost surely, 2^1282062816 is an apocalyptic number.

1282062816 is a gapful number since it is divisible by the number (16) 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 1282062816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890686952).

1282062816 is an abundant number, since it is smaller than the sum of its proper divisors (2499311088).

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

1282062816 is an equidigital number, since it uses as much as digits as its factorization.

1282062816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1282062816 is about 35805.9047644379. The cubic root of 1282062816 is about 1086.3499986025.

The spelling of 1282062816 in words is "one billion, two hundred eighty-two million, sixty-two thousand, eight hundred sixteen".