850188964 has 27 divisors (see below), whose sum is σ = 1518976641. Its totient is φ = 416376240.

The previous prime is 850188949. The next prime is 850188967. The reversal of 850188964 is 469881058.

The square root of 850188964 is 29158.

It is a perfect power (a square), and thus also a powerful number.

850188964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 27646564 + 822542400 = 5258^2 + 28680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (850188967) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3557157 + ... + 3557395.

Almost surely, 2^850188964 is an apocalyptic number.

850188964 is the 29158-th square number.

It is an amenable number.

850188964 is a deficient number, since it is larger than the sum of its proper divisors (668787677).

850188964 is an equidigital number, since it uses as much as digits as its factorization.

850188964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

The cubic root of 850188964 is about 947.3384279045.

Multiplying 850188964 by its sum of digits (49), we get a square (41659259236 = 204106²).

The spelling of 850188964 in words is "eight hundred fifty million, one hundred eighty-eight thousand, nine hundred sixty-four".