1284322560 has 144 divisors (see below), whose sum is σ = 4234513920. Its totient is φ = 331407360.

The previous prime is 1284322549. The next prime is 1284322597. The reversal of 1284322560 is 652234821.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113646 + ... + 124434.

Almost surely, 2^1284322560 is an apocalyptic number.

1284322560 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 1284322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117256960).

1284322560 is an abundant number, since it is smaller than the sum of its proper divisors (2950191360).

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

1284322560 is a wasteful number, since it uses less digits than its factorization.

1284322560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10844 (or 10830 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 1284322560 is about 35837.4463375950. The cubic root of 1284322560 is about 1086.9878851824.

The spelling of 1284322560 in words is "one billion, two hundred eighty-four million, three hundred twenty-two thousand, five hundred sixty".