6540924 has 48 divisors (see below), whose sum is σ = 17160192. Its totient is φ = 1924032.

The previous prime is 6540913. The next prime is 6540949. The reversal of 6540924 is 4290456.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 6540891 and 6540900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2677 + ... + 4499.

It is an arithmetic number, because the mean of its divisors is an integer number (357504).

Almost surely, 2^6540924 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 6540924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8580096).

6540924 is an abundant number, since it is smaller than the sum of its proper divisors (10619268).

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

6540924 is a wasteful number, since it uses less digits than its factorization.

6540924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 6540924 is about 2557.5230204243. The cubic root of 6540924 is about 187.0164035674.

The spelling of 6540924 in words is "six million, five hundred forty thousand, nine hundred twenty-four".