6975360 has 192 divisors, whose sum is σ = 27686880. Its totient is φ = 1585152.

The previous prime is 6975359. The next prime is 6975361. The reversal of 6975360 is 635796.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6975359) and next prime (6975361).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6975361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40234 + ... + 40406.

Almost surely, 2^6975360 is an apocalyptic number.

6975360 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 6975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13843440).

6975360 is an abundant number, since it is smaller than the sum of its proper divisors (20711520).

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

6975360 is a wasteful number, since it uses less digits than its factorization.

6975360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 6975360 is about 2641.0906837896. The cubic root of 6975360 is about 191.0684038135.

The spelling of 6975360 in words is "six million, nine hundred seventy-five thousand, three hundred sixty".