164796288 has 128 divisors (see below), whose sum is σ = 467665920. Its totient is φ = 51296256.

The previous prime is 164796287. The next prime is 164796301. The reversal of 164796288 is 882697461.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 164796288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164796287) 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, 414906 + ... + 415302.

It is an arithmetic number, because the mean of its divisors is an integer number (3653640).

Almost surely, 2^164796288 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 164796288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233832960).

164796288 is an abundant number, since it is smaller than the sum of its proper divisors (302869632).

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

164796288 is a wasteful number, since it uses less digits than its factorization.

164796288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 472 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 164796288 is about 12837.3006508378. The cubic root of 164796288 is about 548.2548408898.

The spelling of 164796288 in words is "one hundred sixty-four million, seven hundred ninety-six thousand, two hundred eighty-eight".