26126800 has 180 divisors, whose sum is σ = 77126016. Its totient is φ = 8467200.

The previous prime is 26126797. The next prime is 26126803. The reversal of 26126800 is 862162.

It is an interprime number because it is at equal distance from previous prime (26126797) and next prime (26126803).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26126803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 607579 + ... + 607621.

Almost surely, 2^26126800 is an apocalyptic number.

26126800 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 26126800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38563008).

26126800 is an abundant number, since it is smaller than the sum of its proper divisors (50999216).

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

26126800 is a wasteful number, since it uses less digits than its factorization.

26126800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 26126800 is about 5111.4381537880. The cubic root of 26126800 is about 296.7304215683.

Adding to 26126800 its reverse (862162), we get a palindrome (26988962).

The spelling of 26126800 in words is "twenty-six million, one hundred twenty-six thousand, eight hundred".