6342240 has 96 divisors (see below), whose sum is σ = 20363616. Its totient is φ = 1658880.

The previous prime is 6342239. The next prime is 6342251. The reversal of 6342240 is 422436.

6342240 = 258² + 259² + ... + 330².

6342240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

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, 34950 + ... + 35130.

It is an arithmetic number, because the mean of its divisors is an integer number (212121).

Almost surely, 2^6342240 is an apocalyptic number.

6342240 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 6342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10181808).

6342240 is an abundant number, since it is smaller than the sum of its proper divisors (14021376).

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

6342240 is a wasteful number, since it uses less digits than its factorization.

6342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 6342240 is about 2518.3804319443. The cubic root of 6342240 is about 185.1033267444.

Adding to 6342240 its reverse (422436), we get a palindrome (6764676).

The spelling of 6342240 in words is "six million, three hundred forty-two thousand, two hundred forty".