26130400 has 72 divisors (see below), whose sum is σ = 64683360. Its totient is φ = 10306560.

The previous prime is 26130383. The next prime is 26130409. The reversal of 26130400 is 403162.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26130409) 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, 71017 + ... + 71383.

It is an arithmetic number, because the mean of its divisors is an integer number (898380).

Almost surely, 2^26130400 is an apocalyptic number.

26130400 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 26130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32341680).

26130400 is an abundant number, since it is smaller than the sum of its proper divisors (38552960).

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

26130400 is a wasteful number, since it uses less digits than its factorization.

26130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 26130400 is about 5111.7902930382. The cubic root of 26130400 is about 296.7440497261.

Adding to 26130400 its reverse (403162), we get a palindrome (26533562).

The spelling of 26130400 in words is "twenty-six million, one hundred thirty thousand, four hundred".