189766720 has 252 divisors, whose sum is σ = 556389540. Its totient is φ = 61501440.

The previous prime is 189766693. The next prime is 189766723. The reversal of 189766720 is 27667981.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 35808256 + 153958464 = 5984^2 + 12408^2 .

It is a super-2 number, since 2×189766720² = 72022816039116800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189766723) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 6543666 + ... + 6543694.

It is an arithmetic number, because the mean of its divisors is an integer number (2207895).

Almost surely, 2^189766720 is an apocalyptic number.

189766720 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 189766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278194770).

189766720 is an abundant number, since it is smaller than the sum of its proper divisors (366622820).

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

189766720 is a wasteful number, since it uses less digits than its factorization.

189766720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The square root of 189766720 is about 13775.5841981384. The cubic root of 189766720 is about 574.6543303595.

The spelling of 189766720 in words is "one hundred eighty-nine million, seven hundred sixty-six thousand, seven hundred twenty".