8232981600 has 144 divisors (see below), whose sum is σ = 26920276992. Its totient is φ = 2185474560.

The previous prime is 8232981503. The next prime is 8232981611. The reversal of 8232981600 is 61892328.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527509 + ... + 542891.

It is an arithmetic number, because the mean of its divisors is an integer number (186946368).

Almost surely, 2^8232981600 is an apocalyptic number.

8232981600 is a gapful number since it is divisible by the number (80) 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 8232981600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13460138496).

8232981600 is an abundant number, since it is smaller than the sum of its proper divisors (18687295392).

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

8232981600 is a wasteful number, since it uses less digits than its factorization.

8232981600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15629 (or 15616 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 8232981600 is about 90735.7790510447. The cubic root of 8232981600 is about 2019.2296510330.

The spelling of 8232981600 in words is "eight billion, two hundred thirty-two million, nine hundred eighty-one thousand, six hundred".