189608448 has 160 divisors (see below), whose sum is σ = 545054400. Its totient is φ = 58392576.

The previous prime is 189608417. The next prime is 189608449. The reversal of 189608448 is 844806981.

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

It is a junction number, because it is equal to n+sod(n) for n = 189608397 and 189608406.

It is not an unprimeable number, because it can be changed into a prime (189608449) 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, 2130388 + ... + 2130476.

It is an arithmetic number, because the mean of its divisors is an integer number (3406590).

Almost surely, 2^189608448 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 189608448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272527200).

189608448 is an abundant number, since it is smaller than the sum of its proper divisors (355445952).

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

189608448 is an equidigital number, since it uses as much as digits as its factorization.

189608448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 189608448 is about 13769.8383432777. The cubic root of 189608448 is about 574.4945254027.

The spelling of 189608448 in words is "one hundred eighty-nine million, six hundred eight thousand, four hundred forty-eight".