26167968 has 96 divisors (see below), whose sum is σ = 78865920. Its totient is φ = 8432640.

The previous prime is 26167961. The next prime is 26167979. The reversal of 26167968 is 86976162.

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

It is not an unprimeable number, because it can be changed into a prime (26167961) 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 15 ways as a sum of consecutive naturals, for example, 26296 + ... + 27272.

It is an arithmetic number, because the mean of its divisors is an integer number (821520).

Almost surely, 2^26167968 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 26167968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39432960).

26167968 is an abundant number, since it is smaller than the sum of its proper divisors (52697952).

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

26167968 is a wasteful number, since it uses less digits than its factorization.

26167968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1013 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 26167968 is about 5115.4636153530. The cubic root of 26167968 is about 296.8861924940.

The spelling of 26167968 in words is "twenty-six million, one hundred sixty-seven thousand, nine hundred sixty-eight".