6410880 has 256 divisors, whose sum is σ = 26438400. Its totient is φ = 1437696.

The previous prime is 6410869. The next prime is 6410891. The reversal of 6410880 is 880146.

It is an interprime number because it is at equal distance from previous prime (6410869) and next prime (6410891).

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

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, 120934 + ... + 120986.

It is an arithmetic number, because the mean of its divisors is an integer number (103275).

Almost surely, 2^6410880 is an apocalyptic number.

6410880 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 6410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13219200).

6410880 is an abundant number, since it is smaller than the sum of its proper divisors (20027520).

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

6410880 is a wasteful number, since it uses less digits than its factorization.

6410880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 6410880 is about 2531.9715638214. The cubic root of 6410880 is about 185.7687031290.

The spelling of 6410880 in words is "six million, four hundred ten thousand, eight hundred eighty".