850198968 has 192 divisors, whose sum is σ = 2533096800. Its totient is φ = 256573440.

The previous prime is 850198897. The next prime is 850198991. The reversal of 850198968 is 869891058.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4405080 + ... + 4405272.

Almost surely, 2^850198968 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 850198968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266548400).

850198968 is an abundant number, since it is smaller than the sum of its proper divisors (1682897832).

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

850198968 is a wasteful number, since it uses less digits than its factorization.

850198968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The square root of 850198968 is about 29158.1715476125. The cubic root of 850198968 is about 947.3421436025.

The spelling of 850198968 in words is "eight hundred fifty million, one hundred ninety-eight thousand, nine hundred sixty-eight".