1075055264 has 48 divisors (see below), whose sum is σ = 2243052000. Its totient is φ = 505776384.

The previous prime is 1075055263. The next prime is 1075055323. The reversal of 1075055264 is 4625505701.

It is not an unprimeable number, because it can be changed into a prime (1075055263) 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 7 ways as a sum of consecutive naturals, for example, 84659 + ... + 96525.

It is an arithmetic number, because the mean of its divisors is an integer number (46730250).

Almost surely, 2^1075055264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1075055264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121526000).

1075055264 is an abundant number, since it is smaller than the sum of its proper divisors (1167996736).

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

1075055264 is a wasteful number, since it uses less digits than its factorization.

1075055264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12045 (or 12037 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

The square root of 1075055264 is about 32788.0353787780. The cubic root of 1075055264 is about 1024.4173612005.

The spelling of 1075055264 in words is "one billion, seventy-five million, fifty-five thousand, two hundred sixty-four".