610688 has 32 divisors (see below), whose sum is σ = 1313760. Its totient is φ = 281088.

The previous prime is 610681. The next prime is 610699. The reversal of 610688 is 886016.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 610688.

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 610688.

It is not an unprimeable number, because it can be changed into a prime (610681) by changing a digit.

610688 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, 1481 + ... + 1847.

It is an arithmetic number, because the mean of its divisors is an integer number (41055).

2⁶¹⁰⁶⁸⁸ 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 610688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656880).

610688 is an abundant number, since it is smaller than the sum of its proper divisors (703072).

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

610688 is a wasteful number, since it uses less digits than its factorization.

610688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 610688 is about 781.4652903360. The cubic root of 610688 is about 84.8411334798.

The spelling of 610688 in words is "six hundred ten thousand, six hundred eighty-eight".