658944 has 120 divisors (see below), whose sum is σ = 2234232. Its totient is φ = 184320.

The previous prime is 658943. The next prime is 658961. The reversal of 658944 is 449856.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (34560) is a multiple of the sum of its prime factors (48).

It is a junction number, because it is equal to n+sod(n) for n = 658899 and 658908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (658943) by changing a digit.

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, 50682 + ... + 50694.

2⁶⁵⁸⁹⁴⁴ is an apocalyptic number.

658944 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 658944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117116).

658944 is an abundant number, since it is smaller than the sum of its proper divisors (1575288).

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

658944 is a wasteful number, since it uses less digits than its factorization.

658944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 29 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 658944 is about 811.7536572138. The cubic root of 658944 is about 87.0194169899.

It can be divided in two parts, 65 and 8944, that added together give a palindrome (9009).

The spelling of 658944 in words is "six hundred fifty-eight thousand, nine hundred forty-four".