1032032320 has 112 divisors (see below), whose sum is σ = 2746711296. Its totient is φ = 366080000.

The previous prime is 1032032273. The next prime is 1032032347. The reversal of 1032032320 is 232302301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1032032294 and 1032032303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140745 + ... + 147895.

It is an arithmetic number, because the mean of its divisors is an integer number (24524208).

Almost surely, 2^1032032320 is an apocalyptic number.

1032032320 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 1032032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373355648).

1032032320 is an abundant number, since it is smaller than the sum of its proper divisors (1714678976).

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

1032032320 is a wasteful number, since it uses less digits than its factorization.

1032032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7220 (or 7210 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 1032032320 is about 32125.2598433071. The cubic root of 1032032320 is about 1010.5654187933.

Adding to 1032032320 its reverse (232302301), we get a palindrome (1264334621).

The spelling of 1032032320 in words is "one billion, thirty-two million, thirty-two thousand, three hundred twenty".