1027664334 has 80 divisors (see below), whose sum is σ = 2432529792. Its totient is φ = 323615952.

The previous prime is 1027664333. The next prime is 1027664359. The reversal of 1027664334 is 4334667201.

It is a happy number.

1027664334 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 6 + 643 + 3 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027664333) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 307597 + ... + 310919.

Almost surely, 2^1027664334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027664334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216264896).

1027664334 is an abundant number, since it is smaller than the sum of its proper divisors (1404865458).

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

1027664334 is a wasteful number, since it uses less digits than its factorization.

1027664334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3443 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 1027664334 is about 32057.2040889408. The cubic root of 1027664334 is about 1009.1376929103.

The spelling of 1027664334 in words is "one billion, twenty-seven million, six hundred sixty-four thousand, three hundred thirty-four".