6918960 has 80 divisors (see below), whose sum is σ = 21712896. Its totient is φ = 1822464.

The previous prime is 6918959. The next prime is 6918973. The reversal of 6918960 is 698196.

It is a tau number, because it is divible by the number of its divisors (80).

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, 30367 + ... + 30593.

Almost surely, 2^6918960 is an apocalyptic number.

6918960 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 6918960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10856448).

6918960 is an abundant number, since it is smaller than the sum of its proper divisors (14793936).

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

6918960 is a wasteful number, since it uses less digits than its factorization.

6918960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 6918960 is about 2630.3916058260. The cubic root of 6918960 is about 190.5520417747.

The spelling of 6918960 in words is "six million, nine hundred eighteen thousand, nine hundred sixty".