890766667098 has 384 divisors, whose sum is σ = 2581189079040. Its totient is φ = 215156874240.

The previous prime is 890766667039. The next prime is 890766667129.

890766667098 is nontrivially palindromic in base 10.

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 191 ways as a sum of consecutive naturals, for example, 319384288 + ... + 319387076.

It is an arithmetic number, because the mean of its divisors is an integer number (6721846560).

Almost surely, 2^890766667098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890766667098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290594539520).

890766667098 is an abundant number, since it is smaller than the sum of its proper divisors (1690422411942).

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

890766667098 is a wasteful number, since it uses less digits than its factorization.

890766667098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 890766667098 in words is "eight hundred ninety billion, seven hundred sixty-six million, six hundred sixty-seven thousand, ninety-eight".