164504352 has 96 divisors (see below), whose sum is σ = 449777664. Its totient is φ = 52588800.

The previous prime is 164504339. The next prime is 164504377. The reversal of 164504352 is 253405461.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496827 + ... + 497157.

It is an arithmetic number, because the mean of its divisors is an integer number (4685184).

Almost surely, 2^164504352 is an apocalyptic number.

164504352 is a gapful number since it is divisible by the number (12) 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 164504352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224888832).

164504352 is an abundant number, since it is smaller than the sum of its proper divisors (285273312).

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

164504352 is a wasteful number, since it uses less digits than its factorization.

164504352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 164504352 is about 12825.9249958824. The cubic root of 164504352 is about 547.9309057398.

It can be divided in two parts, 16450 and 4352, that added together give a palindrome (20802).

The spelling of 164504352 in words is "one hundred sixty-four million, five hundred four thousand, three hundred fifty-two".