164869824 has 112 divisors (see below), whose sum is σ = 506959616. Its totient is φ = 46310400.

The previous prime is 164869813. The next prime is 164869829. The reversal of 164869824 is 428968461.

164869824 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (164869829) 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, 80979 + ... + 82989.

Almost surely, 2^164869824 is an apocalyptic number.

164869824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164869824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253479808).

164869824 is an abundant number, since it is smaller than the sum of its proper divisors (342089792).

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

164869824 is a wasteful number, since it uses less digits than its factorization.

164869824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2084 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 164869824 is about 12840.1644849278. The cubic root of 164869824 is about 548.3363768541.

The spelling of 164869824 in words is "one hundred sixty-four million, eight hundred sixty-nine thousand, eight hundred twenty-four".