188964 has 36 divisors (see below), whose sum is σ = 496860. Its totient is φ = 60480.

The previous prime is 188957. The next prime is 188983. The reversal of 188964 is 469881.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 152100 = 192^2 + 390^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 954 + ... + 1134.

2¹⁸⁸⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248430).

188964 is an abundant number, since it is smaller than the sum of its proper divisors (307896).

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

188964 is a wasteful number, since it uses less digits than its factorization.

188964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 215 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 188964 is about 434.6998964803. The cubic root of 188964 is about 57.3842915734.

It can be divided in two parts, 1889 and 64, that added together give a triangular number (1953 = T₆₂).

The spelling of 188964 in words is "one hundred eighty-eight thousand, nine hundred sixty-four".