890374144 has 72 divisors (see below), whose sum is σ = 1957418190. Its totient is φ = 404602880.

The previous prime is 890374141. The next prime is 890374159. The reversal of 890374144 is 441473098.

It can be written as a sum of positive squares in only one way, i.e., 812934144 + 77440000 = 28512^2 + 8800^2 .

It is a super-3 number, since 3×890374144³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 890374097 and 890374106.

It is not an unprimeable number, because it can be changed into a prime (890374141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 246012 + ... + 249604.

Almost surely, 2^890374144 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 890374144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978709095).

890374144 is an abundant number, since it is smaller than the sum of its proper divisors (1067044046).

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

890374144 is a wasteful number, since it uses less digits than its factorization.

890374144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3637 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 890374144 is about 29839.1377891520. The cubic root of 890374144 is about 962.0349426784.

The spelling of 890374144 in words is "eight hundred ninety million, three hundred seventy-four thousand, one hundred forty-four".