189845952 has 56 divisors (see below), whose sum is σ = 510844800. Its totient is φ = 62205696.

The previous prime is 189845951. The next prime is 189845959. The reversal of 189845952 is 259548981.

It is a junction number, because it is equal to n+sod(n) for n = 189845895 and 189845904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189845951) 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 7 ways as a sum of consecutive naturals, for example, 2949 + ... + 19707.

Almost surely, 2^189845952 is an apocalyptic number.

189845952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189845952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255422400).

189845952 is an abundant number, since it is smaller than the sum of its proper divisors (320998848).

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

189845952 is a wasteful number, since it uses less digits than its factorization.

189845952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16833 (or 16823 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 51.

The square root of 189845952 is about 13778.4597107224. The cubic root of 189845952 is about 574.7342963947.

The spelling of 189845952 in words is "one hundred eighty-nine million, eight hundred forty-five thousand, nine hundred fifty-two".