890164440 has 192 divisors, whose sum is σ = 3322425600. Its totient is φ = 204422400.

The previous prime is 890164391. The next prime is 890164481. The reversal of 890164440 is 44461098.

It is a happy number.

890164440 is a `hidden beast` number, since 8 + 9 + 0 + 1 + 644 + 4 + 0 = 666.

890164440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 890164395 and 890164404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69325 + ... + 81155.

It is an arithmetic number, because the mean of its divisors is an integer number (17304300).

Almost surely, 2^890164440 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 890164440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661212800).

890164440 is an abundant number, since it is smaller than the sum of its proper divisors (2432261160).

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

890164440 is a wasteful number, since it uses less digits than its factorization.

890164440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11878 (or 11871 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 890164440 is about 29835.6236737227. The cubic root of 890164440 is about 961.9594094817.

The spelling of 890164440 in words is "eight hundred ninety million, one hundred sixty-four thousand, four hundred forty".