890641305 has 128 divisors (see below), whose sum is σ = 1791590400. Its totient is φ = 417364992.

The previous prime is 890641231. The next prime is 890641307. The reversal of 890641305 is 503146098.

890641305 is a `hidden beast` number, since 8 + 9 + 0 + 641 + 3 + 0 + 5 = 666.

890641305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 890641305 - 2¹⁰ = 890640281 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 890641305.

It is not an unprimeable number, because it can be changed into a prime (890641307) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2480716 + ... + 2481074.

It is an arithmetic number, because the mean of its divisors is an integer number (13996800).

Almost surely, 2^890641305 is an apocalyptic number.

890641305 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

890641305 is an abundant number, since it is smaller than the sum of its proper divisors (900949095).

890641305 is a wasteful number, since it uses less digits than its factorization.

890641305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 890641305 is about 29843.6141410520. The cubic root of 890641305 is about 962.1311541107.

The spelling of 890641305 in words is "eight hundred ninety million, six hundred forty-one thousand, three hundred five".