6315672 has 64 divisors (see below), whose sum is σ = 17625600. Its totient is φ = 1869440.

The previous prime is 6315671. The next prime is 6315677. The reversal of 6315672 is 2765136.

It is a super-3 number, since 3×6315672³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6315671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12154 + ... + 12662.

It is an arithmetic number, because the mean of its divisors is an integer number (275400).

Almost surely, 2^6315672 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 6315672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812800).

6315672 is an abundant number, since it is smaller than the sum of its proper divisors (11309928).

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

6315672 is a wasteful number, since it uses less digits than its factorization.

6315672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 572 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 6315672 is about 2513.1000775934. The cubic root of 6315672 is about 184.8444955730.

The spelling of 6315672 in words is "six million, three hundred fifteen thousand, six hundred seventy-two".