164067904 has 168 divisors, whose sum is σ = 441764928. Its totient is φ = 58705920.

The previous prime is 164067889. The next prime is 164067961. The reversal of 164067904 is 409760461.

It is a congruent number.

It is an unprimeable number.

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, 832734 + ... + 832930.

Almost surely, 2^164067904 is an apocalyptic number.

164067904 is a gapful number since it is divisible by the number (14) 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 164067904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220882464).

164067904 is an abundant number, since it is smaller than the sum of its proper divisors (277697024).

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

164067904 is a wasteful number, since it uses less digits than its factorization.

164067904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 164067904 is about 12808.8994062722. The cubic root of 164067904 is about 547.4459030667.

It can be divided in two parts, 16406 and 7904, that added together give a triangular number (24310 = T₂₂₀).

The spelling of 164067904 in words is "one hundred sixty-four million, sixty-seven thousand, nine hundred four".