1000663200 has 144 divisors (see below), whose sum is σ = 3619143360. Its totient is φ = 266837760.

The previous prime is 1000663159. The next prime is 1000663219. The reversal of 1000663200 is 23660001.

It is a happy number.

1000663200 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 663 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1564 + ... + 44763.

It is an arithmetic number, because the mean of its divisors is an integer number (25132940).

Almost surely, 2^1000663200 is an apocalyptic number.

1000663200 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 1000663200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809571680).

1000663200 is an abundant number, since it is smaller than the sum of its proper divisors (2618480160).

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

1000663200 is a wasteful number, since it uses less digits than its factorization.

1000663200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46356 (or 46337 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1000663200 is about 31633.2609763837. The cubic root of 1000663200 is about 1000.2210178142.

The spelling of 1000663200 in words is "one billion, six hundred sixty-three thousand, two hundred".