164436040 has 16 divisors (see below), whose sum is σ = 369981180. Its totient is φ = 65774400.

The previous prime is 164436017. The next prime is 164436043. The reversal of 164436040 is 40634461.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 139854276 + 24581764 = 11826^2 + 4958^2 .

It is a super-3 number, since 3×164436040³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (164436043) 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 3 ways as a sum of consecutive naturals, for example, 2055411 + ... + 2055490.

Almost surely, 2^164436040 is an apocalyptic number.

164436040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164436040 is an abundant number, since it is smaller than the sum of its proper divisors (205545140).

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

164436040 is a wasteful number, since it uses less digits than its factorization.

164436040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110912 (or 4110908 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 164436040 is about 12823.2616755645. The cubic root of 164436040 is about 547.8550507287.

The spelling of 164436040 in words is "one hundred sixty-four million, four hundred thirty-six thousand, forty".