8881600 has 168 divisors, whose sum is σ = 27338528. Its totient is φ = 2764800.

The previous prime is 8881589. The next prime is 8881601. The reversal of 8881600 is 61888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8881601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145570 + ... + 145630.

Almost surely, 2^8881600 is an apocalyptic number.

8881600 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 8881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13669264).

8881600 is an abundant number, since it is smaller than the sum of its proper divisors (18456928).

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

8881600 is a wasteful number, since it uses less digits than its factorization.

8881600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 8881600 is about 2980.2013354805. The cubic root of 8881600 is about 207.0921975657.

The spelling of 8881600 in words is "eight million, eight hundred eighty-one thousand, six hundred".