189827820 has 192 divisors, whose sum is σ = 727050240. Its totient is φ = 40041216.

The previous prime is 189827779. The next prime is 189827837. The reversal of 189827820 is 28728981.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47209 + ... + 51071.

It is an arithmetic number, because the mean of its divisors is an integer number (3786720).

Almost surely, 2^189827820 is an apocalyptic number.

189827820 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 189827820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363525120).

189827820 is an abundant number, since it is smaller than the sum of its proper divisors (537222420).

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

189827820 is a wasteful number, since it uses less digits than its factorization.

189827820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901 (or 3893 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 189827820 is about 13777.8017114487. The cubic root of 189827820 is about 574.7159983765.

The spelling of 189827820 in words is "one hundred eighty-nine million, eight hundred twenty-seven thousand, eight hundred twenty".