8921600 has 120 divisors (see below), whose sum is σ = 23975028. Its totient is φ = 3276800.

The previous prime is 8921599. The next prime is 8921603. The reversal of 8921600 is 61298.

It can be written as a sum of positive squares in 6 ways, for example, as 2119936 + 6801664 = 1456^2 + 2608^2 .

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 8921600.

It is not an unprimeable number, because it can be changed into a prime (8921603) 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, 217580 + ... + 217620.

Almost surely, 2^8921600 is an apocalyptic number.

8921600 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 8921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11987514).

8921600 is an abundant number, since it is smaller than the sum of its proper divisors (15053428).

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

8921600 is a wasteful number, since it uses less digits than its factorization.

8921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 8921600 is about 2986.9047524151. The cubic root of 8921600 is about 207.4026252362.

Adding to 8921600 its reverse (61298), we get a palindrome (8982898).

The spelling of 8921600 in words is "eight million, nine hundred twenty-one thousand, six hundred".