26948992 has 64 divisors (see below), whose sum is σ = 64627200. Its totient is φ = 10934784.

The previous prime is 26948989. The next prime is 26948993. The reversal of 26948992 is 29984962.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26948993) 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 7 ways as a sum of consecutive naturals, for example, 16233 + ... + 17815.

It is an arithmetic number, because the mean of its divisors is an integer number (1009800).

Almost surely, 2^26948992 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 26948992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32313600).

26948992 is an abundant number, since it is smaller than the sum of its proper divisors (37678208).

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

26948992 is a wasteful number, since it uses less digits than its factorization.

26948992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1611 counting only the distinct ones).

The product of its digits is 559872, while the sum is 49.

The square root of 26948992 is about 5191.2418552789. The cubic root of 26948992 is about 299.8109623891.

It can be divided in two parts, 2 and 6948992, that multiplied together give a square (13897984 = 3728²).

The spelling of 26948992 in words is "twenty-six million, nine hundred forty-eight thousand, nine hundred ninety-two".