164304140 has 192 divisors, whose sum is σ = 480936960. Its totient is φ = 45480960.

The previous prime is 164304139. The next prime is 164304193. The reversal of 164304140 is 41403461.

It is a super-2 number, since 2×164304140² = 53991700842279200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 580439 + ... + 580721.

It is an arithmetic number, because the mean of its divisors is an integer number (2504880).

Almost surely, 2^164304140 is an apocalyptic number.

164304140 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 164304140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240468480).

164304140 is an abundant number, since it is smaller than the sum of its proper divisors (316632820).

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

164304140 is a wasteful number, since it uses less digits than its factorization.

164304140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 164304140 is about 12818.1176465189. The cubic root of 164304140 is about 547.7085268663.

The spelling of 164304140 in words is "one hundred sixty-four million, three hundred four thousand, one hundred forty".