1285082784 has 72 divisors (see below), whose sum is σ = 3846810240. Its totient is φ = 405813888.

The previous prime is 1285082783. The next prime is 1285082801. The reversal of 1285082784 is 4872805821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (1285082783) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 111952 + ... + 122895.

It is an arithmetic number, because the mean of its divisors is an integer number (53427920).

Almost surely, 2^1285082784 is an apocalyptic number.

It is an amenable number.

1285082784 is an abundant number, since it is smaller than the sum of its proper divisors (2561727456).

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

1285082784 is a wasteful number, since it uses less digits than its factorization.

1285082784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234882 (or 234871 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 1285082784 is about 35848.0513277919. The cubic root of 1285082784 is about 1087.2023150332.

The spelling of 1285082784 in words is "one billion, two hundred eighty-five million, eighty-two thousand, seven hundred eighty-four".