1008208000 has 128 divisors (see below), whose sum is σ = 2550216240. Its totient is φ = 396288000.

The previous prime is 1008207961. The next prime is 1008208021. The reversal of 1008208000 is 8028001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 31270464 + 976937536 = 5592^2 + 31256^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 975484 + ... + 976516.

Almost surely, 2^1008208000 is an apocalyptic number.

1008208000 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 1008208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275108120).

1008208000 is an abundant number, since it is smaller than the sum of its proper divisors (1542008240).

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

1008208000 is an equidigital number, since it uses as much as digits as its factorization.

1008208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 1008208000 is about 31752.2912559078. The cubic root of 1008208000 is about 1002.7285482531.

It can be divided in two parts, 100820 and 8000, that multiplied together give a square (806560000 = 28400²).

The spelling of 1008208000 in words is "one billion, eight million, two hundred eight thousand".