6353672 has 32 divisors (see below), whose sum is σ = 12936000. Its totient is φ = 2908224.

The previous prime is 6353653. The next prime is 6353687. The reversal of 6353672 is 2763536.

It is a d-powerful number, because it can be written as 6 + 3⁷ + 5⁵ + 3¹⁰ + 6³ + 7⁸ + 2¹⁹ .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20543 + ... + 20849.

It is an arithmetic number, because the mean of its divisors is an integer number (404250).

Almost surely, 2^6353672 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 6353672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6468000).

6353672 is an abundant number, since it is smaller than the sum of its proper divisors (6582328).

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

6353672 is a wasteful number, since it uses less digits than its factorization.

6353672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 521 counting only the distinct ones).

The product of its digits is 22680, while the sum is 32.

The square root of 6353672 is about 2520.6491227460. The cubic root of 6353672 is about 185.2144773299.

It can be divided in two parts, 635 and 3672, that multiplied together give a triangular number (2331720 = T₂₁₅₉).

The spelling of 6353672 in words is "six million, three hundred fifty-three thousand, six hundred seventy-two".