8990400 has 84 divisors (see below), whose sum is σ = 29511752. Its totient is φ = 2396160.

The previous prime is 8990353. The next prime is 8990407. The reversal of 8990400 is 40998.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8990407) 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, 3864 + ... + 5736.

Almost surely, 2^8990400 is an apocalyptic number.

8990400 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 8990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14755876).

8990400 is an abundant number, since it is smaller than the sum of its proper divisors (20521352).

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

8990400 is a wasteful number, since it uses less digits than its factorization.

8990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 8990400 is about 2998.3995731056. The cubic root of 8990400 is about 207.9343974573.

The spelling of 8990400 in words is "eight million, nine hundred ninety thousand, four hundred".