335611664 has 40 divisors (see below), whose sum is σ = 674253720. Its totient is φ = 161638400.

The previous prime is 335611589. The next prime is 335611669. The reversal of 335611664 is 466116533.

It can be written as a sum of positive squares in 4 ways, for example, as 4080400 + 331531264 = 2020^2 + 18208^2 .

It is a super-2 number, since 2×335611664² = 225270378025697792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (335611669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380504 + ... + 381384.

It is an arithmetic number, because the mean of its divisors is an integer number (16856343).

Almost surely, 2^335611664 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 335611664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337126860).

335611664 is an abundant number, since it is smaller than the sum of its proper divisors (338642056).

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

335611664 is a wasteful number, since it uses less digits than its factorization.

335611664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1739 (or 1733 counting only the distinct ones).

The product of its digits is 38880, while the sum is 35.

The square root of 335611664 is about 18319.7069845563. The cubic root of 335611664 is about 694.9373951164.

The spelling of 335611664 in words is "three hundred thirty-five million, six hundred eleven thousand, six hundred sixty-four".