26040100 has 36 divisors (see below), whose sum is σ = 57049300. Its totient is φ = 10316160.

The previous prime is 26040097. The next prime is 26040103. The reversal of 26040100 is 104062.

It is an interprime number because it is at equal distance from previous prime (26040097) and next prime (26040103).

It can be written as a sum of positive squares in 6 ways, for example, as 879844 + 25160256 = 938^2 + 5016^2 .

It is not an unprimeable number, because it can be changed into a prime (26040103) 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, 9706 + ... + 12094.

Almost surely, 2^26040100 is an apocalyptic number.

26040100 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 26040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28524650).

26040100 is an abundant number, since it is smaller than the sum of its proper divisors (31009200).

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

26040100 is a wasteful number, since it uses less digits than its factorization.

26040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 26040100 is about 5102.9501271323. The cubic root of 26040100 is about 296.4018312910.

Adding to 26040100 its reverse (104062), we get a palindrome (26144162).

The spelling of 26040100 in words is "twenty-six million, forty thousand, one hundred".