10961680 has 40 divisors (see below), whose sum is σ = 25848792. Its totient is φ = 4322304.

The previous prime is 10961677. The next prime is 10961683. The reversal of 10961680 is 8616901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10961677) and next prime (10961683).

It can be written as a sum of positive squares in 4 ways, for example, as 1817104 + 9144576 = 1348^2 + 3024^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10961683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4902 + ... + 6778.

Almost surely, 2^10961680 is an apocalyptic number.

10961680 is a gapful number since it is divisible by the number (10) 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 10961680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12924396).

10961680 is an abundant number, since it is smaller than the sum of its proper divisors (14887112).

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

10961680 is a wasteful number, since it uses less digits than its factorization.

10961680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 10961680 is about 3310.8427930060. The cubic root of 10961680 is about 222.1394573268.

The spelling of 10961680 in words is "ten million, nine hundred sixty-one thousand, six hundred eighty".