6578880 has 224 divisors, whose sum is σ = 26334720. Its totient is φ = 1351680.

The previous prime is 6578867. The next prime is 6578899. The reversal of 6578880 is 888756.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73876 + ... + 73964.

Almost surely, 2^6578880 is an apocalyptic number.

6578880 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 6578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13167360).

6578880 is an abundant number, since it is smaller than the sum of its proper divisors (19755840).

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

6578880 is a wasteful number, since it uses less digits than its factorization.

6578880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 6578880 is about 2564.9327476564. The cubic root of 6578880 is about 187.3774488061.

The spelling of 6578880 in words is "six million, five hundred seventy-eight thousand, eight hundred eighty".