1008048000 has 128 divisors (see below), whose sum is σ = 3341838240. Its totient is φ = 268800000.

The previous prime is 1008047977. The next prime is 1008048001. The reversal of 1008048000 is 8408001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008048001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 37500 + ... + 58500.

Almost surely, 2^1008048000 is an apocalyptic number.

1008048000 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 1008048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670919120).

1008048000 is an abundant number, since it is smaller than the sum of its proper divisors (2333790240).

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

1008048000 is an equidigital number, since it uses as much as digits as its factorization.

1008048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21033 (or 21011 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 1008048000 is about 31749.7716527222. The cubic root of 1008048000 is about 1002.6755019718.

The spelling of 1008048000 in words is "one billion, eight million, forty-eight thousand".