6492960 has 144 divisors (see below), whose sum is σ = 23115456. Its totient is φ = 1721088.

The previous prime is 6492953. The next prime is 6492961. The reversal of 6492960 is 692946.

6492960 = T₅ + T₆ + ... + T₃₃₈.

6492960 is a `hidden beast` number, since 649 + 2 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (6492961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38797 + ... + 38963.

It is an arithmetic number, because the mean of its divisors is an integer number (160524).

Almost surely, 2^6492960 is an apocalyptic number.

6492960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6492960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11557728).

6492960 is an abundant number, since it is smaller than the sum of its proper divisors (16622496).

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

6492960 is a wasteful number, since it uses less digits than its factorization.

6492960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 6492960 is about 2548.1287251628. The cubic root of 6492960 is about 186.5581568899.

The spelling of 6492960 in words is "six million, four hundred ninety-two thousand, nine hundred sixty".