6961608 has 48 divisors (see below), whose sum is σ = 19468800. Its totient is φ = 2244960.

The previous prime is 6961607. The next prime is 6961609. The reversal of 6961608 is 8061696.

It is an interprime number because it is at equal distance from previous prime (6961607) and next prime (6961609).

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

It is not an unprimeable number, because it can be changed into a prime (6961601) 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 11 ways as a sum of consecutive naturals, for example, 673 + ... + 3791.

It is an arithmetic number, because the mean of its divisors is an integer number (405600).

Almost surely, 2^6961608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6961608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9734400).

6961608 is an abundant number, since it is smaller than the sum of its proper divisors (12507192).

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

6961608 is a wasteful number, since it uses less digits than its factorization.

6961608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 3155 counting only the distinct ones).

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

The square root of 6961608 is about 2638.4859294679. The cubic root of 6961608 is about 190.9427567097.

It can be divided in two parts, 6961 and 608, that added together give a square (7569 = 87²).

The spelling of 6961608 in words is "six million, nine hundred sixty-one thousand, six hundred eight".