10961640 has 48 divisors (see below), whose sum is σ = 35626500. Its totient is φ = 2923008.

The previous prime is 10961633. The next prime is 10961641. The reversal of 10961640 is 4616901.

10961640 is a `hidden beast` number, since 1 + 0 + 9 + 616 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10074276 + 887364 = 3174^2 + 942^2 .

It is not an unprimeable number, because it can be changed into a prime (10961641) 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, 14865 + ... + 15584.

Almost surely, 2^10961640 is an apocalyptic number.

10961640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10961640 is an abundant number, since it is smaller than the sum of its proper divisors (24664860).

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

10961640 is a wasteful number, since it uses less digits than its factorization.

10961640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30466 (or 30459 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10961640 is about 3310.8367522426. The cubic root of 10961640 is about 222.1391871253.

The spelling of 10961640 in words is "ten million, nine hundred sixty-one thousand, six hundred forty".