164814672 has 80 divisors (see below), whose sum is σ = 466541568. Its totient is φ = 49722240.

The previous prime is 164814653. The next prime is 164814673. The reversal of 164814672 is 276418461.

It is a super-2 number, since 2×164814672² = 54327752212935168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164814672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164814673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148873 + ... + 149975.

Almost surely, 2^164814672 is an apocalyptic number.

164814672 is a gapful number since it is divisible by the number (12) 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 164814672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233270784).

164814672 is an abundant number, since it is smaller than the sum of its proper divisors (301726896).

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

164814672 is a wasteful number, since it uses less digits than its factorization.

164814672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1402 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 164814672 is about 12838.0166692523. The cubic root of 164814672 is about 548.2752271545.

The spelling of 164814672 in words is "one hundred sixty-four million, eight hundred fourteen thousand, six hundred seventy-two".