890492544 has 96 divisors (see below), whose sum is σ = 2597832900. Its totient is φ = 292737024.

The previous prime is 890492527. The next prime is 890492557. The reversal of 890492544 is 445294098.

It can be written as a sum of positive squares in 2 ways, for example, as 864360000 + 26132544 = 29400^2 + 5112^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 890492544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78802 + ... + 89390.

Almost surely, 2^890492544 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 890492544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298916450).

890492544 is an abundant number, since it is smaller than the sum of its proper divisors (1707340356).

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

890492544 is a wasteful number, since it uses less digits than its factorization.

890492544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10682 (or 10667 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 890492544 is about 29841.1216947353. The cubic root of 890492544 is about 962.0775838869.

The spelling of 890492544 in words is "eight hundred ninety million, four hundred ninety-two thousand, five hundred forty-four".