189816960 has 128 divisors (see below), whose sum is σ = 611265600. Its totient is φ = 50098176.

The previous prime is 189816941. The next prime is 189816961. The reversal of 189816960 is 69618981.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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 (189816961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208827 + ... + 209733.

Almost surely, 2^189816960 is an apocalyptic number.

189816960 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 189816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305632800).

189816960 is an abundant number, since it is smaller than the sum of its proper divisors (421448640).

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

189816960 is a wasteful number, since it uses less digits than its factorization.

189816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 189816960 is about 13777.4075935932. The cubic root of 189816960 is about 574.7050383835.

The spelling of 189816960 in words is "one hundred eighty-nine million, eight hundred sixteen thousand, nine hundred sixty".