1023232000 has 192 divisors, whose sum is σ = 2923240320. Its totient is φ = 350208000.

The previous prime is 1023231997. The next prime is 1023232019. The reversal of 1023232000 is 2323201.

It is a happy number.

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, 1791715 + ... + 1792285.

It is an arithmetic number, because the mean of its divisors is an integer number (15225210).

Almost surely, 2^1023232000 is an apocalyptic number.

1023232000 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 1023232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461620160).

1023232000 is an abundant number, since it is smaller than the sum of its proper divisors (1900008320).

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

1023232000 is an frugal number, since it uses more digits than its factorization.

1023232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 585 counting only the distinct ones).

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

The square root of 1023232000 is about 31987.9977491559. The cubic root of 1023232000 is about 1007.6847926836.

Adding to 1023232000 its reverse (2323201), we get a palindrome (1025555201).

The spelling of 1023232000 in words is "one billion, twenty-three million, two hundred thirty-two thousand".