189852960 has 192 divisors, whose sum is σ = 669078144. Its totient is φ = 44851200.

The previous prime is 189852953. The next prime is 189852961. The reversal of 189852960 is 69258981.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (189852961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216042 + ... + 216918.

It is an arithmetic number, because the mean of its divisors is an integer number (3484782).

Almost surely, 2^189852960 is an apocalyptic number.

189852960 is a gapful number since it is divisible by the number (10) 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 189852960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334539072).

189852960 is an abundant number, since it is smaller than the sum of its proper divisors (479225184).

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

189852960 is a wasteful number, since it uses less digits than its factorization.

189852960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 189852960 is about 13778.7140183691. The cubic root of 189852960 is about 574.7413682484.

It can be divided in two parts, 18985 and 2960, that added together give a triangular number (21945 = T₂₀₉).

The spelling of 189852960 in words is "one hundred eighty-nine million, eight hundred fifty-two thousand, nine hundred sixty".