339087168 has 336 divisors, whose sum is σ = 1222695040. Its totient is φ = 90243072.

The previous prime is 339087157. The next prime is 339087251. The reversal of 339087168 is 861780933.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×339087168² = 229960215004520448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3495696 + ... + 3495792.

Almost surely, 2^339087168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339087168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611347520).

339087168 is an abundant number, since it is smaller than the sum of its proper divisors (883607872).

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

339087168 is a wasteful number, since it uses less digits than its factorization.

339087168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 339087168 is about 18414.3196453195. The cubic root of 339087168 is about 697.3280232730.

The spelling of 339087168 in words is "three hundred thirty-nine million, eighty-seven thousand, one hundred sixty-eight".