336960080 has 80 divisors (see below), whose sum is σ = 818947584. Its totient is φ = 128785920.

The previous prime is 336960053. The next prime is 336960089. The reversal of 336960080 is 80069633.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×336960080² = 227084191027212800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 336960080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336960089) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 205022 + ... + 206658.

Almost surely, 2^336960080 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 336960080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409473792).

336960080 is an abundant number, since it is smaller than the sum of its proper divisors (481987504).

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

336960080 is a wasteful number, since it uses less digits than its factorization.

336960080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 336960080 is about 18356.4724280021. The cubic root of 336960080 is about 695.8668547881.

The spelling of 336960080 in words is "three hundred thirty-six million, nine hundred sixty thousand, eighty".