611328 has 44 divisors (see below), whose sum is σ = 1637600. Its totient is φ = 202752.

The previous prime is 611323. The next prime is 611333. The reversal of 611328 is 823116.

It is an interprime number because it is at equal distance from previous prime (611323) and next prime (611333).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 4 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (611323) by changing a digit.

611328 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2973 + ... + 3171.

2⁶¹¹³²⁸ 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 611328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818800).

611328 is an abundant number, since it is smaller than the sum of its proper divisors (1026272).

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

611328 is a wasteful number, since it uses less digits than its factorization.

611328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 611328 is about 781.8746702637. The cubic root of 611328 is about 84.8707609209.

It can be divided in two parts, 611 and 328, that added together give a palindrome (939).

The spelling of 611328 in words is "six hundred eleven thousand, three hundred twenty-eight".