6492672 has 60 divisors (see below), whose sum is σ = 18751590. Its totient is φ = 2162688.

The previous prime is 6492643. The next prime is 6492677. The reversal of 6492672 is 2762946.

It is a happy number.

6492672 is a `hidden beast` number, since 649 + 2 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6471936 + 20736 = 2544^2 + 144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6492677) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3904 + ... + 5312.

Almost surely, 2^6492672 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 6492672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9375795).

6492672 is an abundant number, since it is smaller than the sum of its proper divisors (12258918).

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

6492672 is a wasteful number, since it uses less digits than its factorization.

6492672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1414 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 6492672 is about 2548.0722124775. The cubic root of 6492672 is about 186.5553985412. Note that the first 3 decimals are identical.

It can be divided in two parts, 649 and 2672, that added together give a triangular number (3321 = T₈₁).

The spelling of 6492672 in words is "six million, four hundred ninety-two thousand, six hundred seventy-two".