189169920 has 108 divisors (see below), whose sum is σ = 654548076. Its totient is φ = 50442240.

The previous prime is 189169919. The next prime is 189169927. The reversal of 189169920 is 29961981.

It can be written as a sum of positive squares in 2 ways, for example, as 24920064 + 164249856 = 4992^2 + 12816^2 .

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

It is not an unprimeable number, because it can be changed into a prime (189169927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3310 + ... + 19730.

Almost surely, 2^189169920 is an apocalyptic number.

189169920 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 189169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327274038).

189169920 is an abundant number, since it is smaller than the sum of its proper divisors (465378156).

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

189169920 is a wasteful number, since it uses less digits than its factorization.

189169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16448 (or 16431 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 189169920 is about 13753.9056271301. The cubic root of 189169920 is about 574.0512849401.

The spelling of 189169920 in words is "one hundred eighty-nine million, one hundred sixty-nine thousand, nine hundred twenty".