990889200 has 600 divisors, whose sum is σ = 4320071712. Its totient is φ = 212336640.

The previous prime is 990889199. The next prime is 990889201. The reversal of 990889200 is 2988099.

It is an interprime number because it is at equal distance from previous prime (990889199) and next prime (990889201).

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×990889200² = 1963722813353280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990889201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3855472 + ... + 3855728.

Almost surely, 2^990889200 is an apocalyptic number.

990889200 is a gapful number since it is divisible by the number (90) 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 990889200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160035856).

990889200 is an abundant number, since it is smaller than the sum of its proper divisors (3329182512).

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

990889200 is a wasteful number, since it uses less digits than its factorization.

990889200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 990889200 is about 31478.3925892032. The cubic root of 990889200 is about 996.9537967346.

The spelling of 990889200 in words is "nine hundred ninety million, eight hundred eighty-nine thousand, two hundred".