26146800 has 180 divisors, whose sum is σ = 94447080. Its totient is φ = 6946560.

The previous prime is 26146787. The next prime is 26146801. The reversal of 26146800 is 864162.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26146801) 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, 97066 + ... + 97334.

It is an arithmetic number, because the mean of its divisors is an integer number (524706).

Almost surely, 2^26146800 is an apocalyptic number.

26146800 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 26146800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47223540).

26146800 is an abundant number, since it is smaller than the sum of its proper divisors (68300280).

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

26146800 is a wasteful number, since it uses less digits than its factorization.

26146800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 26146800 is about 5113.3941760830. The cubic root of 26146800 is about 296.8061177215.

The spelling of 26146800 in words is "twenty-six million, one hundred forty-six thousand, eight hundred".