189623952 has 120 divisors (see below), whose sum is σ = 638480960. Its totient is φ = 51321600.

The previous prime is 189623947. The next prime is 189623963. The reversal of 189623952 is 259326981.

189623952 is a `hidden beast` number, since 18 + 9 + 623 + 9 + 5 + 2 = 666.

189623952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 189623898 and 189623907.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14202 + ... + 24102.

Almost surely, 2^189623952 is an apocalyptic number.

189623952 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 189623952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319240480).

189623952 is an abundant number, since it is smaller than the sum of its proper divisors (448857008).

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

189623952 is a wasteful number, since it uses less digits than its factorization.

189623952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9941 (or 9932 counting only the distinct ones).

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

The square root of 189623952 is about 13770.4013013419. The cubic root of 189623952 is about 574.5101834961.

The spelling of 189623952 in words is "one hundred eighty-nine million, six hundred twenty-three thousand, nine hundred fifty-two".