6359040 has 192 divisors, whose sum is σ = 23587200. Its totient is φ = 1622016.

The previous prime is 6359039. The next prime is 6359047. The reversal of 6359040 is 409536.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6358995 and 6359013.

It is not an unprimeable number, because it can be changed into a prime (6359047) 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, 276469 + ... + 276491.

It is an arithmetic number, because the mean of its divisors is an integer number (122850).

Almost surely, 2^6359040 is an apocalyptic number.

6359040 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 6359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793600).

6359040 is an abundant number, since it is smaller than the sum of its proper divisors (17228160).

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

6359040 is a wasteful number, since it uses less digits than its factorization.

6359040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 6359040 is about 2521.7137030202. The cubic root of 6359040 is about 185.2666231047.

The spelling of 6359040 in words is "six million, three hundred fifty-nine thousand, forty".