6967560 has 64 divisors (see below), whose sum is σ = 21588480. Its totient is φ = 1797120.

The previous prime is 6967559. The next prime is 6967561. The reversal of 6967560 is 657696.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6967559) and next prime (6967561).

It is not an unprimeable number, because it can be changed into a prime (6967561) 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, 2784 + ... + 4656.

It is an arithmetic number, because the mean of its divisors is an integer number (337320).

Almost surely, 2^6967560 is an apocalyptic number.

6967560 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 6967560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10794240).

6967560 is an abundant number, since it is smaller than the sum of its proper divisors (14620920).

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

6967560 is a wasteful number, since it uses less digits than its factorization.

6967560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 6967560 is about 2639.6136080874. The cubic root of 6967560 is about 190.9971582959.

It can be divided in two parts, 696 and 7560, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 6967560 in words is "six million, nine hundred sixty-seven thousand, five hundred sixty".