1075627008 has 132 divisors (see below), whose sum is σ = 3133711360. Its totient is φ = 355332096.

The previous prime is 1075627001. The next prime is 1075627013. The reversal of 1075627008 is 8007265701.

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

It is not an unprimeable number, because it can be changed into a prime (1075627001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1169973 + ... + 1170891.

Almost surely, 2^1075627008 is an apocalyptic number.

1075627008 is a gapful number since it is divisible by the number (18) 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 1075627008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566855680).

1075627008 is an abundant number, since it is smaller than the sum of its proper divisors (2058084352).

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

1075627008 is a wasteful number, since it uses less digits than its factorization.

1075627008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1075627008 is about 32796.7530100161. The cubic root of 1075627008 is about 1024.5989334721.

The spelling of 1075627008 in words is "one billion, seventy-five million, six hundred twenty-seven thousand, eight".