1027626912 has 120 divisors (see below), whose sum is σ = 3254807556. Its totient is φ = 316182528.

The previous prime is 1027626893. The next prime is 1027626947. The reversal of 1027626912 is 2196267201.

1027626912 is a `hidden beast` number, since 1 + 0 + 27 + 626 + 9 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1024256016 + 3370896 = 32004^2 + 1836^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18448 + ... + 48944.

Almost surely, 2^1027626912 is an apocalyptic number.

1027626912 is a gapful number since it is divisible by the number (12) 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 1027626912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627403778).

1027626912 is an abundant number, since it is smaller than the sum of its proper divisors (2227180644).

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

1027626912 is a wasteful number, since it uses less digits than its factorization.

1027626912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30532 (or 30515 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1027626912 is about 32056.6204082714. The cubic root of 1027626912 is about 1009.1254436418.

The spelling of 1027626912 in words is "one billion, twenty-seven million, six hundred twenty-six thousand, nine hundred twelve".