6961152 has 96 divisors (see below), whose sum is σ = 20442240. Its totient is φ = 2088960.

The previous prime is 6961151. The next prime is 6961153. The reversal of 6961152 is 2511696.

It is an interprime number because it is at equal distance from previous prime (6961151) and next prime (6961153).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6961151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67533 + ... + 67635.

It is an arithmetic number, because the mean of its divisors is an integer number (212940).

Almost surely, 2^6961152 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 6961152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10221120).

6961152 is an abundant number, since it is smaller than the sum of its proper divisors (13481088).

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

6961152 is a wasteful number, since it uses less digits than its factorization.

6961152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its digits is 3240, while the sum is 30.

The square root of 6961152 is about 2638.3995148574. The cubic root of 6961152 is about 190.9385875677.

The spelling of 6961152 in words is "six million, nine hundred sixty-one thousand, one hundred fifty-two".