189163520 has 288 divisors, whose sum is σ = 588205800. Its totient is φ = 57802752.

The previous prime is 189163511. The next prime is 189163531. The reversal of 189163520 is 25361981.

It can be written as a sum of positive squares in 4 ways, for example, as 120472576 + 68690944 = 10976^2 + 8288^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6522866 + ... + 6522894.

Almost surely, 2^189163520 is an apocalyptic number.

189163520 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 189163520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294102900).

189163520 is an abundant number, since it is smaller than the sum of its proper divisors (399042280).

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

189163520 is a wasteful number, since it uses less digits than its factorization.

189163520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 189163520 is about 13753.6729639758. The cubic root of 189163520 is about 574.0448110961.

The spelling of 189163520 in words is "one hundred eighty-nine million, one hundred sixty-three thousand, five hundred twenty".