610368 has 84 divisors (see below), whose sum is σ = 1871472. Its totient is φ = 174080.

The previous prime is 610339. The next prime is 610391. The reversal of 610368 is 863016.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35896 + ... + 35912.

2⁶¹⁰³⁶⁸ is an apocalyptic number.

610368 is a gapful number since it is divisible by the number (68) 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 610368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935736).

610368 is an abundant number, since it is smaller than the sum of its proper divisors (1261104).

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

610368 is a wasteful number, since it uses less digits than its factorization.

610368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 610368 is about 781.2605199292. The cubic root of 610368 is about 84.8263119964.

The spelling of 610368 in words is "six hundred ten thousand, three hundred sixty-eight".