26517948 has 48 divisors (see below), whose sum is σ = 64515360. Its totient is φ = 8467200.

The previous prime is 26517947. The next prime is 26517961. The reversal of 26517948 is 84971562.

It is a super-2 number, since 2×26517948² = 1406403132261408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26517947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62778 + ... + 63198.

It is an arithmetic number, because the mean of its divisors is an integer number (1344070).

Almost surely, 2^26517948 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 26517948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32257680).

26517948 is an abundant number, since it is smaller than the sum of its proper divisors (37997412).

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

26517948 is a wasteful number, since it uses less digits than its factorization.

26517948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 636 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 26517948 is about 5149.5580392884. The cubic root of 26517948 is about 298.2038903158.

The spelling of 26517948 in words is "twenty-six million, five hundred seventeen thousand, nine hundred forty-eight".