6792960 has 144 divisors (see below), whose sum is σ = 22811040. Its totient is φ = 1720320.

The previous prime is 6792959. The next prime is 6792967. The reversal of 6792960 is 692976.

It is a super-2 number, since 2×6792960² = 92288611123200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6792967) 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, 111330 + ... + 111390.

It is an arithmetic number, because the mean of its divisors is an integer number (158410).

Almost surely, 2^6792960 is an apocalyptic number.

6792960 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 6792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11405520).

6792960 is an abundant number, since it is smaller than the sum of its proper divisors (16018080).

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

6792960 is a wasteful number, since it uses less digits than its factorization.

6792960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 6792960 is about 2606.3307541446. The cubic root of 6792960 is about 189.3882447794.

The spelling of 6792960 in words is "six million, seven hundred ninety-two thousand, nine hundred sixty".