6311328 has 48 divisors (see below), whose sum is σ = 17146080. Its totient is φ = 2030336.

The previous prime is 6311323. The next prime is 6311329. The reversal of 6311328 is 8231136.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×6311328² = 79665722247168, which contains 22 as substring.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 6311298 and 6311307.

It is not an unprimeable number, because it can be changed into a prime (6311323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1651 + ... + 3917.

It is an arithmetic number, because the mean of its divisors is an integer number (357210).

Almost surely, 2^6311328 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 6311328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8573040).

6311328 is an abundant number, since it is smaller than the sum of its proper divisors (10834752).

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

6311328 is a wasteful number, since it uses less digits than its factorization.

6311328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2301 counting only the distinct ones).

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

The square root of 6311328 is about 2512.2356577360. The cubic root of 6311328 is about 184.8021063833.

The spelling of 6311328 in words is "six million, three hundred eleven thousand, three hundred twenty-eight".