6470880 has 192 divisors, whose sum is σ = 23623488. Its totient is φ = 1474560.

The previous prime is 6470879. The next prime is 6470881. The reversal of 6470880 is 880746.

6470880 = T₅₁ + T₅₂ + ... + T₃₃₈.

It is an interprime number because it is at equal distance from previous prime (6470879) and next prime (6470881).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6470881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106050 + ... + 106110.

It is an arithmetic number, because the mean of its divisors is an integer number (123039).

Almost surely, 2^6470880 is an apocalyptic number.

6470880 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 6470880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11811744).

6470880 is an abundant number, since it is smaller than the sum of its proper divisors (17152608).

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

6470880 is a wasteful number, since it uses less digits than its factorization.

6470880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 6470880 is about 2543.7924443633. The cubic root of 6470880 is about 186.3464464523.

The spelling of 6470880 in words is "six million, four hundred seventy thousand, eight hundred eighty".