6961566096 has 135 divisors (see below), whose sum is σ = 20746898211. Its totient is φ = 2178680832.

The previous prime is 6961566083. The next prime is 6961566109. The reversal of 6961566096 is 6906651696.

6961566096 = 1³ + 2³ + ... + 408³.

It is a happy number.

The square root of 6961566096 is 83436.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (6961566083) and next prime (6961566109).

It can be written as a sum of positive squares in 4 ways, for example, as 3464499600 + 3497066496 = 58860^2 + 59136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17020740 + ... + 17021148.

Almost surely, 2^6961566096 is an apocalyptic number.

6961566096 is the 83436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6961566096

6961566096 is an abundant number, since it is smaller than the sum of its proper divisors (13785332115).

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

6961566096 is a wasteful number, since it uses less digits than its factorization.

6961566096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The cubic root of 6961566096 is about 1909.4237359513.

The spelling of 6961566096 in words is "six billion, nine hundred sixty-one million, five hundred sixty-six thousand, ninety-six".