1027312064 has 112 divisors (see below), whose sum is σ = 2219431680. Its totient is φ = 470292480.

The previous prime is 1027312063. The next prime is 1027312079. The reversal of 1027312064 is 4602137201.

1027312064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027312061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6302447 + ... + 6302609.

Almost surely, 2^1027312064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109715840).

1027312064 is an abundant number, since it is smaller than the sum of its proper divisors (1192119616).

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

1027312064 is a wasteful number, since it uses less digits than its factorization.

1027312064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 1027312064 is about 32051.7092211944. The cubic root of 1027312064 is about 1009.0223732967.

Adding to 1027312064 its reverse (4602137201), we get a palindrome (5629449265).

The spelling of 1027312064 in words is "one billion, twenty-seven million, three hundred twelve thousand, sixty-four".