6492768 has 48 divisors (see below), whose sum is σ = 17418240. Its totient is φ = 2116736.

The previous prime is 6492763. The next prime is 6492809. The reversal of 6492768 is 8672946.

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

It is a d-powerful number, because it can be written as 6³ + 4¹¹ + 9⁴ + 2¹⁷ + 7⁵ + 6⁶ + 8⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6492763) 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, 3793 + ... + 5231.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 2^6492768 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 6492768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709120).

6492768 is an abundant number, since it is smaller than the sum of its proper divisors (10925472).

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

6492768 is a wasteful number, since it uses less digits than its factorization.

6492768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1491 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 6492768 is about 2548.0910501785. The cubic root of 6492768 is about 186.5563179998.

It can be divided in two parts, 6492 and 768, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 6492768 in words is "six million, four hundred ninety-two thousand, seven hundred sixty-eight".