890058240864 has 240 divisors, whose sum is σ = 2866779170640. Its totient is φ = 269221708800.

The previous prime is 890058240859. The next prime is 890058240889. The reversal of 890058240864 is 468042850098.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 890058240864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1764214 + ... + 2211914.

It is an arithmetic number, because the mean of its divisors is an integer number (11944913211).

Almost surely, 2^890058240864 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 890058240864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433389585320).

890058240864 is an abundant number, since it is smaller than the sum of its proper divisors (1976720929776).

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

890058240864 is a wasteful number, since it uses less digits than its factorization.

890058240864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447795 (or 447778 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 890058240864 in words is "eight hundred ninety billion, fifty-eight million, two hundred forty thousand, eight hundred sixty-four".