1282242864 has 160 divisors (see below), whose sum is σ = 3861975040. Its totient is φ = 359064576.

The previous prime is 1282242853. The next prime is 1282242877. The reversal of 1282242864 is 4682422821.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5749857 + ... + 5750079.

It is an arithmetic number, because the mean of its divisors is an integer number (24137344).

Almost surely, 2^1282242864 is an apocalyptic number.

1282242864 is a gapful number since it is divisible by the number (14) 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 1282242864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930987520).

1282242864 is an abundant number, since it is smaller than the sum of its proper divisors (2579732176).

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

1282242864 is a wasteful number, since it uses less digits than its factorization.

1282242864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 501 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The square root of 1282242864 is about 35808.4188983541. The cubic root of 1282242864 is about 1086.4008505021.

The spelling of 1282242864 in words is "one billion, two hundred eighty-two million, two hundred forty-two thousand, eight hundred sixty-four".