1032520000 has 140 divisors (see below), whose sum is σ = 2599492896. Its totient is φ = 406720000.

The previous prime is 1032519997. The next prime is 1032520019. The reversal of 1032520000 is 252301.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 3319845 + ... + 3320155.

Almost surely, 2^1032520000 is an apocalyptic number.

1032520000 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 1032520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299746448).

1032520000 is an abundant number, since it is smaller than the sum of its proper divisors (1566972896).

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

1032520000 is an frugal number, since it uses more digits than its factorization.

1032520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 1032520000 is about 32132.8492356342. The cubic root of 1032520000 is about 1010.7245723798.

Adding to 1032520000 its reverse (252301), we get a palindrome (1032772301).

The spelling of 1032520000 in words is "one billion, thirty-two million, five hundred twenty thousand".