1047627776 has 144 divisors (see below), whose sum is σ = 2402700300. Its totient is φ = 453869568.

The previous prime is 1047627761. The next prime is 1047627781. The reversal of 1047627776 is 6777267401.

It can be written as a sum of positive squares in 2 ways, for example, as 1038386176 + 9241600 = 32224^2 + 3040^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1047627776.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9611210 + ... + 9611318.

Almost surely, 2^1047627776 is an apocalyptic number.

1047627776 is a gapful number since it is divisible by the number (16) 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 1047627776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201350150).

1047627776 is an abundant number, since it is smaller than the sum of its proper divisors (1355072524).

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

1047627776 is a wasteful number, since it uses less digits than its factorization.

1047627776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 47.

The square root of 1047627776 is about 32367.0785830294. The cubic root of 1047627776 is about 1015.6303447842.

The spelling of 1047627776 in words is "one billion, forty-seven million, six hundred twenty-seven thousand, seven hundred seventy-six".