4117968 has 30 divisors (see below), whose sum is σ = 11524994. Its totient is φ = 1372608.

The previous prime is 4117957. The next prime is 4117969. The reversal of 4117968 is 8697114.

It can be written as a sum of positive squares in only one way, i.e., 4112784 + 5184 = 2028^2 + 72^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (4117969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14155 + ... + 14442.

Almost surely, 2^4117968 is an apocalyptic number.

4117968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4117968 is an abundant number, since it is smaller than the sum of its proper divisors (7407026).

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

4117968 is a wasteful number, since it uses less digits than its factorization.

4117968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28611 (or 28602 counting only the distinct ones).

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

The square root of 4117968 is about 2029.2777040119. The cubic root of 4117968 is about 160.2855318110.

The spelling of 4117968 in words is "four million, one hundred seventeen thousand, nine hundred sixty-eight".