1066579968 has 96 divisors (see below), whose sum is σ = 2887073280. Its totient is φ = 350085120.

The previous prime is 1066579957. The next prime is 1066579973. The reversal of 1066579968 is 8699756601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1066579968² = 2275185656277762048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 410353 + ... + 412943.

It is an arithmetic number, because the mean of its divisors is an integer number (30073680).

Almost surely, 2^1066579968 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 1066579968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443536640).

1066579968 is an abundant number, since it is smaller than the sum of its proper divisors (1820493312).

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

1066579968 is an equidigital number, since it uses as much as digits as its factorization.

1066579968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The square root of 1066579968 is about 32658.5359132953. The cubic root of 1066579968 is about 1021.7182266055.

The spelling of 1066579968 in words is "one billion, sixty-six million, five hundred seventy-nine thousand, nine hundred sixty-eight".