164440832 has 36 divisors (see below), whose sum is σ = 336266616. Its totient is φ = 80209920.

The previous prime is 164440769. The next prime is 164440841. The reversal of 164440832 is 238044461.

It is a super-3 number, since 3×164440832³ (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2663 + ... + 18329.

Almost surely, 2^164440832 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 164440832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168133308).

164440832 is an abundant number, since it is smaller than the sum of its proper divisors (171825784).

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

164440832 is an equidigital number, since it uses as much as digits as its factorization.

164440832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15724 (or 15710 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 164440832 is about 12823.4485221410. The cubic root of 164440832 is about 547.8603725465.

The spelling of 164440832 in words is "one hundred sixty-four million, four hundred forty thousand, eight hundred thirty-two".