164936232 has 96 divisors (see below), whose sum is σ = 464073480. Its totient is φ = 52876800.

The previous prime is 164936231. The next prime is 164936237. The reversal of 164936232 is 232639461.

164936232 is a `hidden beast` number, since 1 + 649 + 3 + 6 + 2 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 155900196 + 9036036 = 12486^2 + 3006^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (164936231) 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 23 ways as a sum of consecutive naturals, for example, 268758 + ... + 269370.

Almost surely, 2^164936232 is an apocalyptic number.

164936232 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 164936232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232036740).

164936232 is an abundant number, since it is smaller than the sum of its proper divisors (299137248).

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

164936232 is a wasteful number, since it uses less digits than its factorization.

164936232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 756 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 164936232 is about 12842.7501727628. The cubic root of 164936232 is about 548.4099885340.

It can be divided in two parts, 164 and 936232, that added together give a triangular number (936396 = T₁₃₆₈).

The spelling of 164936232 in words is "one hundred sixty-four million, nine hundred thirty-six thousand, two hundred thirty-two".