6459840 has 84 divisors (see below), whose sum is σ = 22229064. Its totient is φ = 1721856.

The previous prime is 6459833. The next prime is 6459841. The reversal of 6459840 is 489546.

6459840 is a `hidden beast` number, since 64 + 598 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6459795 and 6459804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6459841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1759 + ... + 4001.

Almost surely, 2^6459840 is an apocalyptic number.

6459840 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 6459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11114532).

6459840 is an abundant number, since it is smaller than the sum of its proper divisors (15769224).

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

6459840 is a wasteful number, since it uses less digits than its factorization.

6459840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6459840 is about 2541.6215296539. The cubic root of 6459840 is about 186.2404105989.

The spelling of 6459840 in words is "six million, four hundred fifty-nine thousand, eight hundred forty".