398160 has 120 divisors (see below), whose sum is σ = 1547520. Its totient is φ = 89856.

The previous prime is 398149. The next prime is 398171. The reversal of 398160 is 61893.

398160 = T₁₃₃ + T₁₃₄ + ... + T₁₆₇.

It is a Cunningham number, because it is equal to 631²-1.

It is an interprime number because it is at equal distance from previous prime (398149) and next prime (398171).

It is a tau number, because it is divible by the number of its divisors (120).

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 398160.

It is an unprimeable number.

398160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5001 + ... + 5079.

It is an arithmetic number, because the mean of its divisors is an integer number (12896).

2³⁹⁸¹⁶⁰ is an apocalyptic number.

398160 is a gapful number since it is divisible by the number (30) 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 398160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773760).

398160 is an abundant number, since it is smaller than the sum of its proper divisors (1149360).

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

398160 is a wasteful number, since it uses less digits than its factorization.

398160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 398160 is about 630.9992076065. Note that the first 3 decimals coincide. The cubic root of 398160 is about 73.5674793314.

The spelling of 398160 in words is "three hundred ninety-eight thousand, one hundred sixty".