305696 has 24 divisors (see below), whose sum is σ = 619164. Its totient is φ = 148480.

The previous prime is 305663. The next prime is 305717. The reversal of 305696 is 696503.

It can be written as a sum of positive squares in 2 ways, for example, as 250000 + 55696 = 500^2 + 236^2 .

It is a super-3 number, since 3×305696³ = 85701914333380608, which contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 305696.

It is an unprimeable number.

305696 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1196 + ... + 1428.

2³⁰⁵⁶⁹⁶ 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 305696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309582).

305696 is an abundant number, since it is smaller than the sum of its proper divisors (313468).

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

305696 is a wasteful number, since it uses less digits than its factorization.

305696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 305696 is about 552.8978205781. The cubic root of 305696 is about 67.3643182123.

It can be divided in two parts, 305 and 696, that added together give a palindrome (1001).

The spelling of 305696 in words is "three hundred five thousand, six hundred ninety-six".