610944 has 64 divisors (see below), whose sum is σ = 1705440. Its totient is φ = 193536.

The previous prime is 610933. The next prime is 610957. The reversal of 610944 is 449016.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×610944² = 746505142272, which contains 22 as substring.

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

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 610944.

It is an unprimeable number.

610944 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, 14187 + ... + 14229.

2⁶¹⁰⁹⁴⁴ is an apocalyptic number.

610944 is a gapful number since it is divisible by the number (64) 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 610944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852720).

610944 is an abundant number, since it is smaller than the sum of its proper divisors (1094496).

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

610944 is a wasteful number, since it uses less digits than its factorization.

610944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 85 counting only the distinct ones).

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

The square root of 610944 is about 781.6290680368. The cubic root of 610944 is about 84.8529869390.

The spelling of 610944 in words is "six hundred ten thousand, nine hundred forty-four".