189820800 has 384 divisors, whose sum is σ = 752556000. Its totient is φ = 46725120.

The previous prime is 189820789. The next prime is 189820801. The reversal of 189820800 is 8028981.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×189820800² = 72063872225280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189820801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14601594 + ... + 14601606.

Almost surely, 2^189820800 is an apocalyptic number.

189820800 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 189820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376278000).

189820800 is an abundant number, since it is smaller than the sum of its proper divisors (562735200).

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

189820800 is an equidigital number, since it uses as much as digits as its factorization.

189820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 189820800 is about 13777.5469514714. The cubic root of 189820800 is about 574.7089137879.

The spelling of 189820800 in words is "one hundred eighty-nine million, eight hundred twenty thousand, eight hundred".