8990210400 has 144 divisors (see below), whose sum is σ = 29592637200. Its totient is φ = 2370396160.

The previous prime is 8990210387. The next prime is 8990210429. The reversal of 8990210400 is 40120998.

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, 192556 + ... + 234644.

It is an arithmetic number, because the mean of its divisors is an integer number (205504425).

Almost surely, 2^8990210400 is an apocalyptic number.

8990210400 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 8990210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14796318600).

8990210400 is an abundant number, since it is smaller than the sum of its proper divisors (20602426800).

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

8990210400 is a wasteful number, since it uses less digits than its factorization.

8990210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42201 (or 42188 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 8990210400 is about 94816.7200445154. The cubic root of 8990210400 is about 2079.3293572631.

The spelling of 8990210400 in words is "eight billion, nine hundred ninety million, two hundred ten thousand, four hundred".