6407040 has 128 divisors (see below), whose sum is σ = 21150720. Its totient is φ = 1648640.

The previous prime is 6407039. The next prime is 6407069. The reversal of 6407040 is 407046.

It is a tau number, because it is divible by the number of its divisors (128).

6407040 is a modest number, since divided by 7040 gives 640 as remainder.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 6406998 and 6407016.

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, 90205 + ... + 90275.

It is an arithmetic number, because the mean of its divisors is an integer number (165240).

Almost surely, 2^6407040 is an apocalyptic number.

6407040 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 6407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10575360).

6407040 is an abundant number, since it is smaller than the sum of its proper divisors (14743680).

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

6407040 is a wasteful number, since it uses less digits than its factorization.

6407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 6407040 is about 2531.2131478799. The cubic root of 6407040 is about 185.7316050345.

The spelling of 6407040 in words is "six million, four hundred seven thousand, forty".