164824160 has 48 divisors (see below), whose sum is σ = 398469456. Its totient is φ = 64393728.

The previous prime is 164824147. The next prime is 164824169. The reversal of 164824160 is 61428461.

It is a super-3 number, since 3×164824160³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164824169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5099 + ... + 18858.

It is an arithmetic number, because the mean of its divisors is an integer number (8301447).

Almost surely, 2^164824160 is an apocalyptic number.

164824160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164824160 is an abundant number, since it is smaller than the sum of its proper divisors (233645296).

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

164824160 is a wasteful number, since it uses less digits than its factorization.

164824160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24015 (or 24007 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 164824160 is about 12838.3861914183. The cubic root of 164824160 is about 548.2857479321.

The spelling of 164824160 in words is "one hundred sixty-four million, eight hundred twenty-four thousand, one hundred sixty".