6960 has 40 divisors (see below), whose sum is σ = 22320. Its totient is φ = 1792.

The previous prime is 6959. The next prime is 6961. The reversal of 6960 is 696.

6960 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (6959) and next prime (6961).

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

6960 is an undulating number in base 12.

It is not an unprimeable number, because it can be changed into a prime (6961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226 + ... + 254.

It is an arithmetic number, because the mean of its divisors is an integer number (558).

2^{6960} is an apocalyptic number.

6960 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 6960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11160).

6960 is an abundant number, since it is smaller than the sum of its proper divisors (15360).

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

6960 is a wasteful number, since it uses less digits than its factorization.

6960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 6960 is about 83.4266144585. The cubic root of 6960 is about 19.0928054187.

The spelling of 6960 in words is "six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960

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