1284256080 has 80 divisors (see below), whose sum is σ = 4423556160. Its totient is φ = 342467712.

The previous prime is 1284256073. The next prime is 1284256081. The reversal of 1284256080 is 806524821.

1284256080 is a `hidden beast` number, since 1 + 2 + 8 + 42 + 5 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1284256081) by changing a digit.

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, 295122 + ... + 299441.

It is an arithmetic number, because the mean of its divisors is an integer number (55294452).

Almost surely, 2^1284256080 is an apocalyptic number.

1284256080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1284256080 is an abundant number, since it is smaller than the sum of its proper divisors (3139300080).

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

1284256080 is a wasteful number, since it uses less digits than its factorization.

1284256080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594585 (or 594573 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1284256080 is about 35836.5188041473. The cubic root of 1284256080 is about 1086.9691297172.

The spelling of 1284256080 in words is "one billion, two hundred eighty-four million, two hundred fifty-six thousand, eighty".