336568320 has 336 divisors, whose sum is σ = 1288096992. Its totient is φ = 80609280.

The previous prime is 336568313. The next prime is 336568321. The reversal of 336568320 is 23865633.

It is a happy number.

It is a super-2 number, since 2×336568320² = 226556468055244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (336568321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4054999 + ... + 4055081.

It is an arithmetic number, because the mean of its divisors is an integer number (3833622).

Almost surely, 2^336568320 is an apocalyptic number.

336568320 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 336568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644048496).

336568320 is an abundant number, since it is smaller than the sum of its proper divisors (951528672).

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

336568320 is a wasteful number, since it uses less digits than its factorization.

336568320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 336568320 is about 18345.7984290682. The cubic root of 336568320 is about 695.5970715775.

The spelling of 336568320 in words is "three hundred thirty-six million, five hundred sixty-eight thousand, three hundred twenty".