164182480 has 120 divisors (see below), whose sum is σ = 479719296. Its totient is φ = 51152640.

The previous prime is 164182463. The next prime is 164182489. The reversal of 164182480 is 84281461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164182489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66549 + ... + 68971.

Almost surely, 2^164182480 is an apocalyptic number.

164182480 is a gapful number since it is divisible by the number (10) 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 164182480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239859648).

164182480 is an abundant number, since it is smaller than the sum of its proper divisors (315536816).

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

164182480 is a wasteful number, since it uses less digits than its factorization.

164182480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 164182480 is about 12813.3711411166. The cubic root of 164182480 is about 547.5733087829.

The spelling of 164182480 in words is "one hundred sixty-four million, one hundred eighty-two thousand, four hundred eighty".