890350832280 has 384 divisors, whose sum is σ = 3479496998400. Its totient is φ = 177966637056.

The previous prime is 890350832279. The next prime is 890350832281. The reversal of 890350832280 is 82238053098.

It is an interprime number because it is at equal distance from previous prime (890350832279) and next prime (890350832281).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890350832281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2532192 + ... + 2862288.

It is an arithmetic number, because the mean of its divisors is an integer number (9061190100).

Almost surely, 2^890350832280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890350832280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739748499200).

890350832280 is an abundant number, since it is smaller than the sum of its proper divisors (2589146166120).

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

890350832280 is a wasteful number, since it uses less digits than its factorization.

890350832280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330163 (or 330146 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 890350832280 in words is "eight hundred ninety billion, three hundred fifty million, eight hundred thirty-two thousand, two hundred eighty".