6918240 has 192 divisors, whose sum is σ = 26127360. Its totient is φ = 1505280.

The previous prime is 6918229. The next prime is 6918253. The reversal of 6918240 is 428196.

It is a super-3 number, since 3×6918240³ (a number of 21 digits) contains 333 as substring.

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 = 6918198 and 6918207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97405 + ... + 97475.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 2^6918240 is an apocalyptic number.

6918240 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 6918240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).

6918240 is an abundant number, since it is smaller than the sum of its proper divisors (19209120).

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

6918240 is a wasteful number, since it uses less digits than its factorization.

6918240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 6918240 is about 2630.2547405147. The cubic root of 6918240 is about 190.5454318107.

The spelling of 6918240 in words is "six million, nine hundred eighteen thousand, two hundred forty".