164864436 has 72 divisors (see below), whose sum is σ = 447773760. Its totient is φ = 47013120.

The previous prime is 164864411. The next prime is 164864461. The reversal of 164864436 is 634468461.

It is a happy number.

164864436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164864411) and next prime (164864461).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21345 + ... + 28023.

It is an arithmetic number, because the mean of its divisors is an integer number (6219080).

Almost surely, 2^164864436 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 164864436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223886880).

164864436 is an abundant number, since it is smaller than the sum of its proper divisors (282909324).

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

164864436 is a wasteful number, since it uses less digits than its factorization.

164864436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6725 (or 6712 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 164864436 is about 12839.9546728172. The cubic root of 164864436 is about 548.3304035180.

The spelling of 164864436 in words is "one hundred sixty-four million, eight hundred sixty-four thousand, four hundred thirty-six".