6546840 has 64 divisors (see below), whose sum is σ = 19893600. Its totient is φ = 1723392.

The previous prime is 6546829. The next prime is 6546847. The reversal of 6546840 is 486456.

6546840 = 226² + 227² + ... + 314².

It is a happy number.

It is a super-2 number, since 2×6546840² = 85722227971200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6546847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10374 + ... + 10986.

Almost surely, 2^6546840 is an apocalyptic number.

6546840 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 6546840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9946800).

6546840 is an abundant number, since it is smaller than the sum of its proper divisors (13346760).

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

6546840 is a wasteful number, since it uses less digits than its factorization.

6546840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 6546840 is about 2558.6793468506. The cubic root of 6546840 is about 187.0727694901.

The spelling of 6546840 in words is "six million, five hundred forty-six thousand, eight hundred forty".