1001032320 has 128 divisors (see below), whose sum is σ = 3258973440. Its totient is φ = 261238784.

The previous prime is 1001032313. The next prime is 1001032339. The reversal of 1001032320 is 232301001.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1001032296 and 1001032305.

It is an unprimeable number.

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, 84694 + ... + 95786.

It is an arithmetic number, because the mean of its divisors is an integer number (25460730).

Almost surely, 2^1001032320 is an apocalyptic number.

1001032320 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 1001032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629486720).

1001032320 is an abundant number, since it is smaller than the sum of its proper divisors (2257941120).

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

1001032320 is a wasteful number, since it uses less digits than its factorization.

1001032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11162 (or 11150 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1001032320 is about 31639.0948037392. The cubic root of 1001032320 is about 1000.3439883251.

Adding to 1001032320 its reverse (232301001), we get a palindrome (1233333321).

The spelling of 1001032320 in words is "one billion, one million, thirty-two thousand, three hundred twenty".