335016864 has 192 divisors, whose sum is σ = 1202906880. Its totient is φ = 88335360.

The previous prime is 335016859. The next prime is 335016881. The reversal of 335016864 is 468610533.

335016864 is a `hidden beast` number, since 33 + 501 + 68 + 64 = 666.

It is a super-2 number, since 2×335016864² = 224472598328788992, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76494 + ... + 80754.

It is an arithmetic number, because the mean of its divisors is an integer number (6265140).

Almost surely, 2^335016864 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 335016864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601453440).

335016864 is an abundant number, since it is smaller than the sum of its proper divisors (867890016).

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

335016864 is a wasteful number, since it uses less digits than its factorization.

335016864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4300 (or 4286 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 335016864 is about 18303.4659012986. The cubic root of 335016864 is about 694.5266096378.

The spelling of 335016864 in words is "three hundred thirty-five million, sixteen thousand, eight hundred sixty-four".