189350964 has 108 divisors (see below), whose sum is σ = 557270532. Its totient is φ = 53982720.

The previous prime is 189350963. The next prime is 189350969. The reversal of 189350964 is 469053981.

It is a happy number.

189350964 is a `hidden beast` number, since 1 + 89 + 3 + 509 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115734564 + 73616400 = 10758^2 + 8580^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189350963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72774 + ... + 75330.

Almost surely, 2^189350964 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 189350964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278635266).

189350964 is an abundant number, since it is smaller than the sum of its proper divisors (367919568).

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

189350964 is a wasteful number, since it uses less digits than its factorization.

189350964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 189350964 is about 13760.4856018965. The cubic root of 189350964 is about 574.2343573928.

It can be divided in two parts, 189 and 350964, that added together give a palindrome (351153).

The spelling of 189350964 in words is "one hundred eighty-nine million, three hundred fifty thousand, nine hundred sixty-four".