189348624 has 80 divisors (see below), whose sum is σ = 547038400. Its totient is φ = 62705664.

The previous prime is 189348583. The next prime is 189348629. The reversal of 189348624 is 426843981.

It is a happy number.

189348624 is a `hidden beast` number, since 18 + 9 + 3 + 4 + 8 + 624 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 189348624.

It is not an unprimeable number, because it can be changed into a prime (189348629) 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, 69072 + ... + 71760.

It is an arithmetic number, because the mean of its divisors is an integer number (6837980).

Almost surely, 2^189348624 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 189348624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273519200).

189348624 is an abundant number, since it is smaller than the sum of its proper divisors (357689776).

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

189348624 is a wasteful number, since it uses less digits than its factorization.

189348624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869 (or 2857 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 189348624 is about 13760.4005755647. The cubic root of 189348624 is about 574.2319919195.

The spelling of 189348624 in words is "one hundred eighty-nine million, three hundred forty-eight thousand, six hundred twenty-four".