335604096 has 96 divisors (see below), whose sum is σ = 969836400. Its totient is φ = 111393792.

The previous prime is 335604083. The next prime is 335604103. The reversal of 335604096 is 690406533.

335604096 is a `hidden beast` number, since 3 + 3 + 560 + 4 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×335604096² = 225260218503954432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 335604096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364725 + ... + 365643.

Almost surely, 2^335604096 is an apocalyptic number.

335604096 is a gapful number since it is divisible by the number (36) 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 335604096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484918200).

335604096 is an abundant number, since it is smaller than the sum of its proper divisors (634232304).

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

335604096 is a wasteful number, since it uses less digits than its factorization.

335604096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 335604096 is about 18319.5004298698. The cubic root of 335604096 is about 694.9321714941.

The spelling of 335604096 in words is "three hundred thirty-five million, six hundred four thousand, ninety-six".