6477240 has 128 divisors (see below), whose sum is σ = 24261120. Its totient is φ = 1344000.

The previous prime is 6477227. The next prime is 6477241. The reversal of 6477240 is 427746.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6477198 and 6477207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6477241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8890 + ... + 9590.

It is an arithmetic number, because the mean of its divisors is an integer number (189540).

Almost surely, 2^6477240 is an apocalyptic number.

6477240 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 6477240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12130560).

6477240 is an abundant number, since it is smaller than the sum of its proper divisors (17783880).

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

6477240 is a wasteful number, since it uses less digits than its factorization.

6477240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 6477240 is about 2545.0422393351. The cubic root of 6477240 is about 186.4074775808.

It can be divided in two parts, 647 and 7240, that added together give a palindrome (7887).

The spelling of 6477240 in words is "six million, four hundred seventy-seven thousand, two hundred forty".