1048320000 has 720 divisors, whose sum is σ = 4656571920. Its totient is φ = 221184000.

The previous prime is 1048319999. The next prime is 1048320017. The reversal of 1048320000 is 238401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 80639994 + ... + 80640006.

It is an arithmetic number, because the mean of its divisors is an integer number (6467461).

Almost surely, 2^1048320000 is an apocalyptic number.

1048320000 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 1048320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328285960).

1048320000 is an abundant number, since it is smaller than the sum of its proper divisors (3608251920).

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

1048320000 is an equidigital number, since it uses as much as digits as its factorization.

1048320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1048320000 is about 32377.7701517569. The cubic root of 1048320000 is about 1015.8539893923.

Adding to 1048320000 its reverse (238401), we get a palindrome (1048558401).

The spelling of 1048320000 in words is "one billion, forty-eight million, three hundred twenty thousand".