189552000 has 256 divisors, whose sum is σ = 687398400. Its totient is φ = 45824000.

The previous prime is 189551983. The next prime is 189552049. The reversal of 189552000 is 255981.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527821 + ... + 528179.

It is an arithmetic number, because the mean of its divisors is an integer number (2685150).

Almost surely, 2^189552000 is an apocalyptic number.

189552000 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 189552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343699200).

189552000 is an abundant number, since it is smaller than the sum of its proper divisors (497846400).

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

189552000 is a wasteful number, since it uses less digits than its factorization.

189552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 189552000 is about 13767.7884934364. The cubic root of 189552000 is about 574.4375091569.

The spelling of 189552000 in words is "one hundred eighty-nine million, five hundred fifty-two thousand".