6345540 has 60 divisors (see below), whose sum is σ = 19911276. Its totient is φ = 1691712.

The previous prime is 6345533. The next prime is 6345541. The reversal of 6345540 is 455436.

6345540 = T₉₆ + T₉₇ + ... + T₃₃₈.

It can be written as a sum of positive squares in 2 ways, for example, as 3779136 + 2566404 = 1944^2 + 1602^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6345541) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 339 + ... + 3578.

Almost surely, 2^6345540 is an apocalyptic number.

6345540 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 6345540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9955638).

6345540 is an abundant number, since it is smaller than the sum of its proper divisors (13565736).

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

6345540 is a wasteful number, since it uses less digits than its factorization.

6345540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 3927 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 6345540 is about 2519.0355297216. The cubic root of 6345540 is about 185.1354255541.

The spelling of 6345540 in words is "six million, three hundred forty-five thousand, five hundred forty".