6311872 has 56 divisors (see below), whose sum is σ = 14585696. Its totient is φ = 2654208.

The previous prime is 6311807. The next prime is 6311873. The reversal of 6311872 is 2781136.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 6311872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6311873) 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, 32608 + ... + 32800.

Almost surely, 2^6311872 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 6311872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7292848).

6311872 is an abundant number, since it is smaller than the sum of its proper divisors (8273824).

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

6311872 is a wasteful number, since it uses less digits than its factorization.

6311872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 6311872 is about 2512.3439255006. The cubic root of 6311872 is about 184.8074158553.

It can be divided in two parts, 63118 and 72, that added together give a triangular number (63190 = T₃₅₅).

The spelling of 6311872 in words is "six million, three hundred eleven thousand, eight hundred seventy-two".