1032023200 has 72 divisors (see below), whose sum is σ = 2713256028. Its totient is φ = 381050880.

The previous prime is 1032023189. The next prime is 1032023207. The reversal of 1032023200 is 23202301.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10837264 + 1021185936 = 3292^2 + 31956^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1032023207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39217 + ... + 60016.

Almost surely, 2^1032023200 is an apocalyptic number.

1032023200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032023200 is an abundant number, since it is smaller than the sum of its proper divisors (1681232828).

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

1032023200 is a wasteful number, since it uses less digits than its factorization.

1032023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99266 (or 99253 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 1032023200 is about 32125.1178986163. The cubic root of 1032023200 is about 1010.5624420184.

Adding to 1032023200 its reverse (23202301), we get a palindrome (1055225501).

The spelling of 1032023200 in words is "one billion, thirty-two million, twenty-three thousand, two hundred".