6890880 has 128 divisors (see below), whose sum is σ = 22790880. Its totient is φ = 1769472.

The previous prime is 6890861. The next prime is 6890957. The reversal of 6890880 is 880986.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70992 + ... + 71088.

Almost surely, 2^6890880 is an apocalyptic number.

6890880 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 6890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11395440).

6890880 is an abundant number, since it is smaller than the sum of its proper divisors (15900000).

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

6890880 is a wasteful number, since it uses less digits than its factorization.

6890880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 6890880 is about 2625.0485709792. The cubic root of 6890880 is about 190.2939126074.

The spelling of 6890880 in words is "six million, eight hundred ninety thousand, eight hundred eighty".