890985408 has 112 divisors (see below), whose sum is σ = 2488631040. Its totient is φ = 280766464.

The previous prime is 890985397. The next prime is 890985409. The reversal of 890985408 is 804589098.

890985408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890985409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391891 + ... + 394157.

It is an arithmetic number, because the mean of its divisors is an integer number (22219920).

Almost surely, 2^890985408 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 890985408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244315520).

890985408 is an abundant number, since it is smaller than the sum of its proper divisors (1597645632).

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

890985408 is a wasteful number, since it uses less digits than its factorization.

890985408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The square root of 890985408 is about 29849.3786870012. The cubic root of 890985408 is about 962.2550459576.

The spelling of 890985408 in words is "eight hundred ninety million, nine hundred eighty-five thousand, four hundred eight".