1027076064 has 144 divisors (see below), whose sum is σ = 3244827600. Its totient is φ = 283293696.

The previous prime is 1027076053. The next prime is 1027076107. The reversal of 1027076064 is 4606707201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132652 + ... + 140180.

It is an arithmetic number, because the mean of its divisors is an integer number (22533525).

Almost surely, 2^1027076064 is an apocalyptic number.

1027076064 is a gapful number since it is divisible by the number (14) 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 1027076064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622413800).

1027076064 is an abundant number, since it is smaller than the sum of its proper divisors (2217751536).

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

1027076064 is a wasteful number, since it uses less digits than its factorization.

1027076064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7585 (or 7570 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 1027076064 is about 32048.0274588000. The cubic root of 1027076064 is about 1008.9451012500.

The spelling of 1027076064 in words is "one billion, twenty-seven million, seventy-six thousand, sixty-four".