164969088 has 128 divisors (see below), whose sum is σ = 477213120. Its totient is φ = 50282496.

The previous prime is 164969053. The next prime is 164969089. The reversal of 164969088 is 880969461.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 164969088.

It is not an unprimeable number, because it can be changed into a prime (164969089) 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, 241195 + ... + 241877.

Almost surely, 2^164969088 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 164969088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238606560).

164969088 is an abundant number, since it is smaller than the sum of its proper divisors (312244032).

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

164969088 is a wasteful number, since it uses less digits than its factorization.

164969088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 164969088 is about 12844.0292743360. The cubic root of 164969088 is about 548.4464013182.

The spelling of 164969088 in words is "one hundred sixty-four million, nine hundred sixty-nine thousand, eighty-eight".