890819424 has 144 divisors (see below), whose sum is σ = 2856233520. Its totient is φ = 269913600.

The previous prime is 890819411. The next prime is 890819429. The reversal of 890819424 is 424918098.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 890819424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890819429) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 100284 + ... + 108804.

It is an arithmetic number, because the mean of its divisors is an integer number (19834955).

Almost surely, 2^890819424 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 890819424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428116760).

890819424 is an abundant number, since it is smaller than the sum of its proper divisors (1965414096).

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

890819424 is a wasteful number, since it uses less digits than its factorization.

890819424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8562 (or 8537 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 890819424 is about 29846.5981981197. The cubic root of 890819424 is about 962.1952885776.

The spelling of 890819424 in words is "eight hundred ninety million, eight hundred nineteen thousand, four hundred twenty-four".