164406432 has 24 divisors (see below), whose sum is σ = 431567136. Its totient is φ = 54802112.

The previous prime is 164406421. The next prime is 164406443. The reversal of 164406432 is 234604461.

It is an interprime number because it is at equal distance from previous prime (164406421) and next prime (164406443).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×164406432³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164406432.

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, 856188 + ... + 856379.

It is an arithmetic number, because the mean of its divisors is an integer number (17981964).

Almost surely, 2^164406432 is an apocalyptic number.

164406432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164406432 is an abundant number, since it is smaller than the sum of its proper divisors (267160704).

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

164406432 is a wasteful number, since it uses less digits than its factorization.

164406432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712580 (or 1712572 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 164406432 is about 12822.1071591217. The cubic root of 164406432 is about 547.8221668873.

The spelling of 164406432 in words is "one hundred sixty-four million, four hundred six thousand, four hundred thirty-two".