26017920 has 96 divisors (see below), whose sum is σ = 89863020. Its totient is φ = 6936576.

The previous prime is 26017889. The next prime is 26017921. The reversal of 26017920 is 2971062.

It can be written as a sum of positive squares in 2 ways, for example, as 21455424 + 4562496 = 4632^2 + 2136^2 .

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

It is a super-2 number, since 2×26017920² = 1353864322252800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (26017921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3502 + ... + 8018.

Almost surely, 2^26017920 is an apocalyptic number.

26017920 is a gapful number since it is divisible by the number (20) 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 26017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44931510).

26017920 is an abundant number, since it is smaller than the sum of its proper divisors (63845100).

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

26017920 is a wasteful number, since it uses less digits than its factorization.

26017920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4542 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 26017920 is about 5100.7764114887. The cubic root of 26017920 is about 296.3176526582.

Adding to 26017920 its reverse (2971062), we get a palindrome (28988982).

The spelling of 26017920 in words is "twenty-six million, seventeen thousand, nine hundred twenty".