164431764 has 36 divisors (see below), whose sum is σ = 475025824. Its totient is φ = 46980432.

The previous prime is 164431753. The next prime is 164431777. The reversal of 164431764 is 467134461.

164431764 is a `hidden beast` number, since 1 + 644 + 3 + 1 + 7 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×164431764³ (a number of 26 digits) contains 333 as substring.

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 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 11 ways as a sum of consecutive naturals, for example, 326002 + ... + 326505.

Almost surely, 2^164431764 is an apocalyptic number.

164431764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164431764 is an abundant number, since it is smaller than the sum of its proper divisors (310594060).

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

164431764 is a wasteful number, since it uses less digits than its factorization.

164431764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652524 (or 652519 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 164431764 is about 12823.0949462289. The cubic root of 164431764 is about 547.8503018742.

The spelling of 164431764 in words is "one hundred sixty-four million, four hundred thirty-one thousand, seven hundred sixty-four".