890131200 has 432 divisors, whose sum is σ = 3467278080. Its totient is φ = 196853760.

The previous prime is 890131199. The next prime is 890131201. The reversal of 890131200 is 2131098.

It is an interprime number because it is at equal distance from previous prime (890131199) and next prime (890131201).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (890131201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4972711 + ... + 4972889.

Almost surely, 2^890131200 is an apocalyptic number.

890131200 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 890131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733639040).

890131200 is an abundant number, since it is smaller than the sum of its proper divisors (2577146880).

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

890131200 is a wasteful number, since it uses less digits than its factorization.

890131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 890131200 is about 29835.0666163158. The cubic root of 890131200 is about 961.9474356907.

Adding to 890131200 its reverse (2131098), we get a palindrome (892262298).

The spelling of 890131200 in words is "eight hundred ninety million, one hundred thirty-one thousand, two hundred".