1075615668 has 72 divisors (see below), whose sum is σ = 2747437056. Its totient is φ = 354801600.

The previous prime is 1075615661. The next prime is 1075615691. The reversal of 1075615668 is 8665165701.

1075615668 is a `hidden beast` number, since 10 + 75 + 6 + 1 + 566 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075615661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2495413 + ... + 2495843.

It is an arithmetic number, because the mean of its divisors is an integer number (38158848).

Almost surely, 2^1075615668 is an apocalyptic number.

1075615668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1075615668 is an abundant number, since it is smaller than the sum of its proper divisors (1671821388).

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

1075615668 is a wasteful number, since it uses less digits than its factorization.

1075615668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 1075615668 is about 32796.5801265925. The cubic root of 1075615668 is about 1024.5953327838.

The spelling of 1075615668 in words is "one billion, seventy-five million, six hundred fifteen thousand, six hundred sixty-eight".