1027045824 has 56 divisors (see below), whose sum is σ = 3105595008. Its totient is φ = 293441280.

The previous prime is 1027045793. The next prime is 1027045853. The reversal of 1027045824 is 4285407201.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380742 + ... + 383429.

Almost surely, 2^1027045824 is an apocalyptic number.

1027045824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1027045824 is an abundant number, since it is smaller than the sum of its proper divisors (2078549184).

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

1027045824 is an equidigital number, since it uses as much as digits as its factorization.

1027045824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764193 (or 764183 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 1027045824 is about 32047.5556634199. Note that the first 3 decimals coincide. The cubic root of 1027045824 is about 1008.9351990950.

The spelling of 1027045824 in words is "one billion, twenty-seven million, forty-five thousand, eight hundred twenty-four".