1075890816 has 512 divisors, whose sum is σ = 4277145600. Its totient is φ = 257126400.

The previous prime is 1075890793. The next prime is 1075890821. The reversal of 1075890816 is 6180985701.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3459301 + ... + 3459611.

It is an arithmetic number, because the mean of its divisors is an integer number (8353800).

Almost surely, 2^1075890816 is an apocalyptic number.

1075890816 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 1075890816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2138572800).

1075890816 is an abundant number, since it is smaller than the sum of its proper divisors (3201254784).

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

1075890816 is a wasteful number, since it uses less digits than its factorization.

1075890816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 1075890816 is about 32800.7746249993. The cubic root of 1075890816 is about 1024.6826909143.

The spelling of 1075890816 in words is "one billion, seventy-five million, eight hundred ninety thousand, eight hundred sixteen".