6961680 has 160 divisors (see below), whose sum is σ = 26248320. Its totient is φ = 1681920.

The previous prime is 6961673. The next prime is 6961681. The reversal of 6961680 is 861696.

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 (6961681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23614 + ... + 23906.

It is an arithmetic number, because the mean of its divisors is an integer number (164052).

Almost surely, 2^6961680 is an apocalyptic number.

6961680 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 6961680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160).

6961680 is an abundant number, since it is smaller than the sum of its proper divisors (19286640).

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

6961680 is a wasteful number, since it uses less digits than its factorization.

6961680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6961680 is about 2638.4995736213. The cubic root of 6961680 is about 190.9434149787.

It can be divided in two parts, 69616 and 80, that added together give a palindrome (69696).

The spelling of 6961680 in words is "six million, nine hundred sixty-one thousand, six hundred eighty".