339996960 has 192 divisors, whose sum is σ = 1198834560. Its totient is φ = 89994240.

The previous prime is 339996947. The next prime is 339996983. The reversal of 339996960 is 69699933.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 339996897 and 339996906.

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 31 ways as a sum of consecutive naturals, for example, 911334 + ... + 911706.

It is an arithmetic number, because the mean of its divisors is an integer number (6243930).

Almost surely, 2^339996960 is an apocalyptic number.

339996960 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 339996960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599417280).

339996960 is an abundant number, since it is smaller than the sum of its proper divisors (858837600).

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

339996960 is a wasteful number, since it uses less digits than its factorization.

339996960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 2125764, while the sum is 54.

The square root of 339996960 is about 18439.0064808275. The cubic root of 339996960 is about 697.9511245104.

The spelling of 339996960 in words is "three hundred thirty-nine million, nine hundred ninety-six thousand, nine hundred sixty".