6496560 has 120 divisors (see below), whose sum is σ = 24953760. Its totient is φ = 1483776.

The previous prime is 6496559. The next prime is 6496583. The reversal of 6496560 is 656946.

6496560 = T₁₂₀ + T₁₂₁ + ... + T₃₄₃.

It is a happy number.

6496560 is a `hidden beast` number, since 6 + 4 + 96 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4396 + ... + 5684.

It is an arithmetic number, because the mean of its divisors is an integer number (207948).

Almost surely, 2^6496560 is an apocalyptic number.

6496560 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 6496560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12476880).

6496560 is an abundant number, since it is smaller than the sum of its proper divisors (18457200).

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

6496560 is a wasteful number, since it uses less digits than its factorization.

6496560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6496560 is about 2548.8350280079. The cubic root of 6496560 is about 186.5926293687.

It can be divided in two parts, 64965 and 60, that added together give a square (65025 = 255²).

The spelling of 6496560 in words is "six million, four hundred ninety-six thousand, five hundred sixty".