189947520 has 288 divisors, whose sum is σ = 764134020. Its totient is φ = 43352064.

The previous prime is 189947519. The next prime is 189947543. The reversal of 189947520 is 25749981.

189947520 is a `hidden beast` number, since 1 + 89 + 9 + 47 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 185177664 + 4769856 = 13608^2 + 2184^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 281904 + ... + 282576.

Almost surely, 2^189947520 is an apocalyptic number.

189947520 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 189947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382067010).

189947520 is an abundant number, since it is smaller than the sum of its proper divisors (574186500).

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

189947520 is a wasteful number, since it uses less digits than its factorization.

189947520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 189947520 is about 13782.1449709398. The cubic root of 189947520 is about 574.8367728242.

The spelling of 189947520 in words is "one hundred eighty-nine million, nine hundred forty-seven thousand, five hundred twenty".