164295888 has 80 divisors (see below), whose sum is σ = 473094720. Its totient is φ = 48826368.

The previous prime is 164295883. The next prime is 164295889. The reversal of 164295888 is 888592461.

164295888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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 164295888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164295883) 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, 10206 + ... + 20802.

It is an arithmetic number, because the mean of its divisors is an integer number (5913684).

Almost surely, 2^164295888 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 164295888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236547360).

164295888 is an abundant number, since it is smaller than the sum of its proper divisors (308798832).

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

164295888 is a wasteful number, since it uses less digits than its factorization.

164295888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10644 (or 10638 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 51.

The square root of 164295888 is about 12817.7957543409. The cubic root of 164295888 is about 547.6993573541.

The spelling of 164295888 in words is "one hundred sixty-four million, two hundred ninety-five thousand, eight hundred eighty-eight".