1032320000 has 110 divisors (see below), whose sum is σ = 2580313098. Its totient is φ = 412672000.

The previous prime is 1032319993. The next prime is 1032320021. The reversal of 1032320000 is 232301.

It can be written as a sum of positive squares in 5 ways, for example, as 342102016 + 690217984 = 18496^2 + 26272^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 639194 + ... + 640806.

Almost surely, 2^1032320000 is an apocalyptic number.

1032320000 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 1032320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290156549).

1032320000 is an abundant number, since it is smaller than the sum of its proper divisors (1547993098).

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

1032320000 is an frugal number, since it uses more digits than its factorization.

1032320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 1032320000 is about 32129.7370048371. The cubic root of 1032320000 is about 1010.6593087634.

Adding to 1032320000 its reverse (232301), we get a palindrome (1032552301).

The spelling of 1032320000 in words is "one billion, thirty-two million, three hundred twenty thousand".