338160 has 40 divisors (see below), whose sum is σ = 1049040. Its totient is φ = 90112.

The previous prime is 338159. The next prime is 338161. The reversal of 338160 is 61833.

338160 = T₄₉ + T₅₀ + ... + T₁₂₈.

It is an interprime number because it is at equal distance from previous prime (338159) and next prime (338161).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×338160² = 228704371200, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338160.

It is not an unprimeable number, because it can be changed into a prime (338161) 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, 465 + ... + 944.

It is an arithmetic number, because the mean of its divisors is an integer number (26226).

2³³⁸¹⁶⁰ is an apocalyptic number.

338160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338160 is an abundant number, since it is smaller than the sum of its proper divisors (710880).

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

338160 is a wasteful number, since it uses less digits than its factorization.

338160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 338160 is about 581.5152620525. The cubic root of 338160 is about 69.6691873765.

Adding to 338160 its reverse (61833), we get a palindrome (399993).

The spelling of 338160 in words is "three hundred thirty-eight thousand, one hundred sixty".