164464672 has 48 divisors (see below), whose sum is σ = 335930112. Its totient is φ = 79176960.

The previous prime is 164464669. The next prime is 164464673. The reversal of 164464672 is 276464461.

It is not an unprimeable number, because it can be changed into a prime (164464673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314203 + ... + 314725.

It is an arithmetic number, because the mean of its divisors is an integer number (6998544).

Almost surely, 2^164464672 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 164464672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167965056).

164464672 is an abundant number, since it is smaller than the sum of its proper divisors (171465440).

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

164464672 is a wasteful number, since it uses less digits than its factorization.

164464672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 873 counting only the distinct ones).

The product of its digits is 193536, while the sum is 40.

The square root of 164464672 is about 12824.3780356008. The cubic root of 164464672 is about 547.8868468311.

The spelling of 164464672 in words is "one hundred sixty-four million, four hundred sixty-four thousand, six hundred seventy-two".