26967248 has 120 divisors (see below), whose sum is σ = 68700960. Its totient is φ = 10133760.

The previous prime is 26967211. The next prime is 26967257. The reversal of 26967248 is 84276962.

It is a Cunningham number, because it is equal to 5193²-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 26967199 and 26967208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457043 + ... + 457101.

It is an arithmetic number, because the mean of its divisors is an integer number (572508).

Almost surely, 2^26967248 is an apocalyptic number.

26967248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26967248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34350480).

26967248 is an abundant number, since it is smaller than the sum of its proper divisors (41733712).

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

26967248 is a wasteful number, since it uses less digits than its factorization.

26967248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its digits is 290304, while the sum is 44.

The square root of 26967248 is about 5192.9999037165. Note that the first 4 decimals coincide. The cubic root of 26967248 is about 299.8786472146.

The spelling of 26967248 in words is "twenty-six million, nine hundred sixty-seven thousand, two hundred forty-eight".