26261400 has 192 divisors, whose sum is σ = 93208320. Its totient is φ = 6054400.

The previous prime is 26261383. The next prime is 26261429. The reversal of 26261400 is 416262.

It is a happy number.

It is a super-2 number, since 2×26261400² = 1379322259920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151714 + ... + 151886.

It is an arithmetic number, because the mean of its divisors is an integer number (485460).

Almost surely, 2^26261400 is an apocalyptic number.

26261400 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 26261400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46604160).

26261400 is an abundant number, since it is smaller than the sum of its proper divisors (66946920).

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

26261400 is a wasteful number, since it uses less digits than its factorization.

26261400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 26261400 is about 5124.5877883006. The cubic root of 26261400 is about 297.2391140848.

Adding to 26261400 its reverse (416262), we get a palindrome (26677662).

The spelling of 26261400 in words is "twenty-six million, two hundred sixty-one thousand, four hundred".