10741968 has 30 divisors (see below), whose sum is σ = 30062994. Its totient is φ = 3580608.

The previous prime is 10741967. The next prime is 10741993. The reversal of 10741968 is 86914701.

It can be written as a sum of positive squares in only one way, i.e., 10575504 + 166464 = 3252^2 + 408^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10741961) 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 5 ways as a sum of consecutive naturals, for example, 37155 + ... + 37442.

Almost surely, 2^10741968 is an apocalyptic number.

10741968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10741968 is an abundant number, since it is smaller than the sum of its proper divisors (19321026).

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

10741968 is a wasteful number, since it uses less digits than its factorization.

10741968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74611 (or 74602 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 10741968 is about 3277.4941647545. The cubic root of 10741968 is about 220.6452680891.

The spelling of 10741968 in words is "ten million, seven hundred forty-one thousand, nine hundred sixty-eight".