1020664000 has 56 divisors (see below), whose sum is σ = 2527694208. Its totient is φ = 408262400.

The previous prime is 1020663967. The next prime is 1020664093. The reversal of 1020664000 is 4660201.

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, 55792 + ... + 71791.

Almost surely, 2^1020664000 is an apocalyptic number.

1020664000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020664000 is an abundant number, since it is smaller than the sum of its proper divisors (1507030208).

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

1020664000 is an equidigital number, since it uses as much as digits as its factorization.

1020664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127610 (or 127590 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1020664000 is about 31947.8324773372. The cubic root of 1020664000 is about 1006.8410927280.

The spelling of 1020664000 in words is "one billion, twenty million, six hundred sixty-four thousand".