8832000 has 176 divisors, whose sum is σ = 30655872. Its totient is φ = 2252800.

The previous prime is 8831989. The next prime is 8832001. The reversal of 8832000 is 2388.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (8832001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383989 + ... + 384011.

Almost surely, 2^8832000 is an apocalyptic number.

8832000 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 8832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15327936).

8832000 is an abundant number, since it is smaller than the sum of its proper divisors (21823872).

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

8832000 is a wasteful number, since it uses less digits than its factorization.

8832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 8832000 is about 2971.8680993611. The cubic root of 8832000 is about 206.7059700945.

Adding to 8832000 its reverse (2388), we get a palindrome (8834388).

The spelling of 8832000 in words is "eight million, eight hundred thirty-two thousand".