26958948 has 48 divisors (see below), whose sum is σ = 66601920. Its totient is φ = 8463744.

The previous prime is 26958947. The next prime is 26958959. The reversal of 26958948 is 84985962.

It is a self number, because there is not a number n which added to its sum of digits gives 26958948.

It is not an unprimeable number, because it can be changed into a prime (26958947) 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 15 ways as a sum of consecutive naturals, for example, 72090 + ... + 72462.

It is an arithmetic number, because the mean of its divisors is an integer number (1387540).

Almost surely, 2^26958948 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 26958948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33300960).

26958948 is an abundant number, since it is smaller than the sum of its proper divisors (39642972).

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

26958948 is a wasteful number, since it uses less digits than its factorization.

26958948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 714 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 26958948 is about 5192.2006894957. The cubic root of 26958948 is about 299.8478784320.

The spelling of 26958948 in words is "twenty-six million, nine hundred fifty-eight thousand, nine hundred forty-eight".