6617880 has 96 divisors (see below), whose sum is σ = 22239360. Its totient is φ = 1704960.

The previous prime is 6617873. The next prime is 6617893. The reversal of 6617880 is 887166.

6617880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10864 + ... + 11456.

It is an arithmetic number, because the mean of its divisors is an integer number (231660).

Almost surely, 2^6617880 is an apocalyptic number.

6617880 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 6617880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11119680).

6617880 is an abundant number, since it is smaller than the sum of its proper divisors (15621480).

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

6617880 is a wasteful number, since it uses less digits than its factorization.

6617880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 6617880 is about 2572.5240523657. The cubic root of 6617880 is about 187.7469811920.

The spelling of 6617880 in words is "six million, six hundred seventeen thousand, eight hundred eighty".