1027664008 has 64 divisors (see below), whose sum is σ = 2336221440. Its totient is φ = 413712384.

The previous prime is 1027663993. The next prime is 1027664017. The reversal of 1027664008 is 8004667201.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 843816 + ... + 845032.

It is an arithmetic number, because the mean of its divisors is an integer number (36503460).

Almost surely, 2^1027664008 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 1027664008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168110720).

1027664008 is an abundant number, since it is smaller than the sum of its proper divisors (1308557432).

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

1027664008 is a wasteful number, since it uses less digits than its factorization.

1027664008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 1027664008 is about 32057.1990042798. The cubic root of 1027664008 is about 1009.1375862027.

The spelling of 1027664008 in words is "one billion, twenty-seven million, six hundred sixty-four thousand, eight".