26010400 has 144 divisors (see below), whose sum is σ = 71198568. Its totient is φ = 9216000.

The previous prime is 26010389. The next prime is 26010427. The reversal of 26010400 is 401062.

It can be written as a sum of positive squares in 12 ways, for example, as 6615184 + 19395216 = 2572^2 + 4404^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 426370 + ... + 426430.

Almost surely, 2^26010400 is an apocalyptic number.

26010400 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 26010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35599284).

26010400 is an abundant number, since it is smaller than the sum of its proper divisors (45188168).

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

26010400 is a wasteful number, since it uses less digits than its factorization.

26010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 122 counting only the distinct ones).

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

The square root of 26010400 is about 5100.0392155355. The cubic root of 26010400 is about 296.2891015228.

Adding to 26010400 its reverse (401062), we get a palindrome (26411462).

The spelling of 26010400 in words is "twenty-six million, ten thousand, four hundred".