1047648000 has 288 divisors, whose sum is σ = 3979422720. Its totient is φ = 239308800.

The previous prime is 1047647989. The next prime is 1047648029. The reversal of 1047648000 is 8467401.

1047648000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671221 + ... + 672779.

It is an arithmetic number, because the mean of its divisors is an integer number (13817440).

Almost surely, 2^1047648000 is an apocalyptic number.

1047648000 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 1047648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989711360).

1047648000 is an abundant number, since it is smaller than the sum of its proper divisors (2931774720).

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

1047648000 is an equidigital number, since it uses as much as digits as its factorization.

1047648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1047648000 is about 32367.3909977310. The cubic root of 1047648000 is about 1015.6368801766.

The spelling of 1047648000 in words is "one billion, forty-seven million, six hundred forty-eight thousand".