339968160 has 288 divisors, whose sum is σ = 1372775040. Its totient is φ = 74962944.

The previous prime is 339968087. The next prime is 339968177. The reversal of 339968160 is 61869933.

339968160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291739 + ... + 292901.

It is an arithmetic number, because the mean of its divisors is an integer number (4766580).

Almost surely, 2^339968160 is an apocalyptic number.

339968160 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 339968160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686387520).

339968160 is an abundant number, since it is smaller than the sum of its proper divisors (1032806880).

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

339968160 is a wasteful number, since it uses less digits than its factorization.

339968160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 339968160 is about 18438.2255111494. The cubic root of 339968160 is about 697.9314169225.

The spelling of 339968160 in words is "three hundred thirty-nine million, nine hundred sixty-eight thousand, one hundred sixty".