1075133640 has 64 divisors (see below), whose sum is σ = 3686175360. Its totient is φ = 245744640.

The previous prime is 1075133629. The next prime is 1075133659. The reversal of 1075133640 is 463315701.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1075133598 and 1075133607.

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 15 ways as a sum of consecutive naturals, for example, 639121 + ... + 640800.

It is an arithmetic number, because the mean of its divisors is an integer number (57596490).

Almost surely, 2^1075133640 is an apocalyptic number.

1075133640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1075133640 is an abundant number, since it is smaller than the sum of its proper divisors (2611041720).

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

1075133640 is a wasteful number, since it uses less digits than its factorization.

1075133640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279942 (or 1279938 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 1075133640 is about 32789.2305490690. The cubic root of 1075133640 is about 1024.4422553576.

The spelling of 1075133640 in words is "one billion, seventy-five million, one hundred thirty-three thousand, six hundred forty".