6578040 has 128 divisors (see below), whose sum is σ = 23224320. Its totient is φ = 1459200.

The previous prime is 6578017. The next prime is 6578051. The reversal of 6578040 is 408756.

It is a happy number.

It is a super-2 number, since 2×6578040² = 86541220483200, which contains 22 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 = 6577989 and 6578007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34345 + ... + 34535.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 2^6578040 is an apocalyptic number.

6578040 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 6578040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).

6578040 is an abundant number, since it is smaller than the sum of its proper divisors (16646280).

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

6578040 is a wasteful number, since it uses less digits than its factorization.

6578040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 6578040 is about 2564.7689954458. The cubic root of 6578040 is about 187.3694736008.

The spelling of 6578040 in words is "six million, five hundred seventy-eight thousand, forty".