1048088576 has 78 divisors (see below), whose sum is σ = 2174563062. Its totient is φ = 504791040.

The previous prime is 1048088563. The next prime is 1048088599. The reversal of 1048088576 is 6758808401.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 639078400 + 409010176 = 25280^2 + 20224^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1048088576.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 13266905 + ... + 13266983.

Almost surely, 2^1048088576 is an apocalyptic number.

1048088576 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 1048088576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087281531).

1048088576 is an abundant number, since it is smaller than the sum of its proper divisors (1126474486).

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

1048088576 is an frugal number, since it uses more digits than its factorization.

1048088576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 47.

The square root of 1048088576 is about 32374.1961444605. The cubic root of 1048088576 is about 1015.7792315909.

The spelling of 1048088576 in words is "one billion, forty-eight million, eighty-eight thousand, five hundred seventy-six".