1001664000 has 480 divisors, whose sum is σ = 3784150656. Its totient is φ = 254361600.

The previous prime is 1001663977. The next prime is 1001664019. The reversal of 1001664000 is 4661001.

1001664000 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 664 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 21311977 + ... + 21312023.

Almost surely, 2^1001664000 is an apocalyptic number.

1001664000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892075328).

1001664000 is an abundant number, since it is smaller than the sum of its proper divisors (2782486656).

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

1001664000 is an equidigital number, since it uses as much as digits as its factorization.

1001664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1001664000 is about 31649.0758158907. The cubic root of 1001664000 is about 1000.5543592957.

Subtracting from 1001664000 its reverse (4661001), we obtain a cube (997002999 = 999³).

It can be divided in two parts, 100 and 1664000, that added together give a square (1664100 = 1290²).

The spelling of 1001664000 in words is "one billion, one million, six hundred sixty-four thousand".