6840240 has 80 divisors (see below), whose sum is σ = 23141376. Its totient is φ = 1657600.

The previous prime is 6840221. The next prime is 6840241. The reversal of 6840240 is 420486.

6840240 is digitally balanced in base 4, 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6840240.

It is not an unprimeable number, because it can be changed into a prime (6840241) 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, 1345 + ... + 3935.

Almost surely, 2^6840240 is an apocalyptic number.

6840240 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 6840240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11570688).

6840240 is an abundant number, since it is smaller than the sum of its proper divisors (16301136).

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

6840240 is a wasteful number, since it uses less digits than its factorization.

6840240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 6840240 is about 2615.3852488687. The cubic root of 6840240 is about 189.8266193030.

The spelling of 6840240 in words is "six million, eight hundred forty thousand, two hundred forty".