6738960 has 80 divisors (see below), whose sum is σ = 21409344. Its totient is φ = 1752576.

The previous prime is 6738959. The next prime is 6738961. The reversal of 6738960 is 698376.

It is an interprime number because it is at equal distance from previous prime (6738959) and next prime (6738961).

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

It is not an unprimeable number, because it can be changed into a prime (6738961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9994 + ... + 10646.

Almost surely, 2^6738960 is an apocalyptic number.

6738960 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 6738960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10704672).

6738960 is an abundant number, since it is smaller than the sum of its proper divisors (14670384).

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

6738960 is a wasteful number, since it uses less digits than its factorization.

6738960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 6738960 is about 2595.9506929062. The cubic root of 6738960 is about 188.8850677171.

The spelling of 6738960 in words is "six million, seven hundred thirty-eight thousand, nine hundred sixty".