1002208000 has 72 divisors (see below), whose sum is σ = 2496705120. Its totient is φ = 400870400.

The previous prime is 1002207967. The next prime is 1002208027. The reversal of 1002208000 is 8022001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16341 + ... + 47659.

It is an arithmetic number, because the mean of its divisors is an integer number (34676460).

Almost surely, 2^1002208000 is an apocalyptic number.

1002208000 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 1002208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248352560).

1002208000 is an abundant number, since it is smaller than the sum of its proper divisors (1494497120).

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

1002208000 is an frugal number, since it uses more digits than its factorization.

1002208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31350 (or 31326 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1002208000 is about 31657.6688971251. The cubic root of 1002208000 is about 1000.7354589675.

The spelling of 1002208000 in words is "one billion, two million, two hundred eight thousand".