1032020000 has 120 divisors (see below), whose sum is σ = 2770325712. Its totient is φ = 375200000.

The previous prime is 1032019999. The next prime is 1032020009. The reversal of 1032020000 is 202301.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1032020000.

It is not an unprimeable number, because it can be changed into a prime (1032020009) by changing a digit.

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, 217655 + ... + 222345.

Almost surely, 2^1032020000 is an apocalyptic number.

1032020000 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 1032020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385162856).

1032020000 is an abundant number, since it is smaller than the sum of its proper divisors (1738305712).

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

1032020000 is an equidigital number, since it uses as much as digits as its factorization.

1032020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4732 (or 4709 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 1032020000 is about 32125.0680933130. The cubic root of 1032020000 is about 1010.5613975318.

Adding to 1032020000 its reverse (202301), we get a palindrome (1032222301).

The spelling of 1032020000 in words is "one billion, thirty-two million, twenty thousand".