335216640 has 272 divisors, whose sum is σ = 1207950336. Its totient is φ = 78643200.

The previous prime is 335216593. The next prime is 335216641. The reversal of 335216640 is 46612533.

It is a super-2 number, since 2×335216640² = 224740391465779200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 335216598 and 335216607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (335216641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10813425 + ... + 10813455.

Almost surely, 2^335216640 is an apocalyptic number.

335216640 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 335216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603975168).

335216640 is an abundant number, since it is smaller than the sum of its proper divisors (872733696).

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

335216640 is an equidigital number, since it uses as much as digits as its factorization.

335216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 335216640 is about 18308.9224150413. The cubic root of 335216640 is about 694.6646347070.

The spelling of 335216640 in words is "three hundred thirty-five million, two hundred sixteen thousand, six hundred forty".