164440672 has 96 divisors (see below), whose sum is σ = 371498400. Its totient is φ = 70963200.

The previous prime is 164440669. The next prime is 164440681. The reversal of 164440672 is 276044461.

It is a super-3 number, since 3×164440672³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 908422 + ... + 908602.

It is an arithmetic number, because the mean of its divisors is an integer number (3869775).

Almost surely, 2^164440672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164440672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185749200).

164440672 is an abundant number, since it is smaller than the sum of its proper divisors (207057728).

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

164440672 is a wasteful number, since it uses less digits than its factorization.

164440672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 164440672 is about 12823.4422835680. The cubic root of 164440672 is about 547.8601948581.

The spelling of 164440672 in words is "one hundred sixty-four million, four hundred forty thousand, six hundred seventy-two".