610896 has 80 divisors (see below), whose sum is σ = 1874880. Its totient is φ = 168960.

The previous prime is 610891. The next prime is 610913. The reversal of 610896 is 698016.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610891) by changing a digit.

610896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6820 + ... + 6908.

It is an arithmetic number, because the mean of its divisors is an integer number (23436).

2⁶¹⁰⁸⁹⁶ is an apocalyptic number.

610896 is a gapful number since it is divisible by the number (66) 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 610896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937440).

610896 is an abundant number, since it is smaller than the sum of its proper divisors (1263984).

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

610896 is a wasteful number, since it uses less digits than its factorization.

610896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 610896 is about 781.5983623320. The cubic root of 610896 is about 84.8507646677.

The spelling of 610896 in words is "six hundred ten thousand, eight hundred ninety-six".