164417140 has 24 divisors (see below), whose sum is σ = 345826152. Its totient is φ = 65662080.

The previous prime is 164417131. The next prime is 164417167. The reversal of 164417140 is 41714461.

It can be written as a sum of positive squares in 4 ways, for example, as 5354596 + 159062544 = 2314^2 + 12612^2 .

It is a super-3 number, since 3×164417140³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164417099 and 164417108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7002 + ... + 19438.

It is an arithmetic number, because the mean of its divisors is an integer number (14409423).

Almost surely, 2^164417140 is an apocalyptic number.

164417140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164417140 is an abundant number, since it is smaller than the sum of its proper divisors (181409012).

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

164417140 is a wasteful number, since it uses less digits than its factorization.

164417140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13107 (or 13105 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 164417140 is about 12822.5247123958. The cubic root of 164417140 is about 547.8340600806.

The spelling of 164417140 in words is "one hundred sixty-four million, four hundred seventeen thousand, one hundred forty".