164956932 has 192 divisors, whose sum is σ = 513856000. Its totient is φ = 45722880.

The previous prime is 164956931. The next prime is 164956963. The reversal of 164956932 is 239659461.

164956932 is a `hidden beast` number, since 16 + 49 + 569 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (164956931) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2259648 + ... + 2259720.

Almost surely, 2^164956932 is an apocalyptic number.

164956932 is a gapful number since it is divisible by the number (12) 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 164956932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256928000).

164956932 is an abundant number, since it is smaller than the sum of its proper divisors (348899068).

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

164956932 is a wasteful number, since it uses less digits than its factorization.

164956932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 146 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 164956932 is about 12843.5560496305. The cubic root of 164956932 is about 548.4329299495.

The spelling of 164956932 in words is "one hundred sixty-four million, nine hundred fifty-six thousand, nine hundred thirty-two".