8921088000 has 612 divisors, whose sum is σ = 35352994404. Its totient is φ = 2162688000.

The previous prime is 8921087983. The next prime is 8921088013. The reversal of 8921088000 is 8801298.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 285474816 + 8635613184 = 16896^2 + 92928^2 .

It is a super-2 number, since 2×8921088000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 811007995 + ... + 811008005.

Almost surely, 2^8921088000 is an apocalyptic number.

8921088000 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 8921088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17676497202).

8921088000 is an abundant number, since it is smaller than the sum of its proper divisors (26431906404).

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

8921088000 is an equidigital number, since it uses as much as digits as its factorization.

8921088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 8921088000 is about 94451.5113695911. The cubic root of 8921088000 is about 2073.9865763038.

Adding to 8921088000 its reverse (8801298), we get a palindrome (8929889298).

The spelling of 8921088000 in words is "eight billion, nine hundred twenty-one million, eighty-eight thousand".