755608 has 32 divisors (see below), whose sum is σ = 1647360. Its totient is φ = 318240.

The previous prime is 755597. The next prime is 755617. The reversal of 755608 is 806557.

755608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 755608.

It is a congruent number.

It is an unprimeable number.

755608 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 7 ways as a sum of consecutive naturals, for example, 5703 + ... + 5833.

It is an arithmetic number, because the mean of its divisors is an integer number (51480).

2⁷⁵⁵⁶⁰⁸ 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 755608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823680).

755608 is an abundant number, since it is smaller than the sum of its proper divisors (891752).

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

755608 is a wasteful number, since it uses less digits than its factorization.

755608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 755608 is about 869.2571541264. The cubic root of 755608 is about 91.0819211579.

The spelling of 755608 in words is "seven hundred fifty-five thousand, six hundred eight".