26800956 has 168 divisors, whose sum is σ = 87405024. Its totient is φ = 6998400.

The previous prime is 26800931. The next prime is 26800967. The reversal of 26800956 is 65900862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 26800956.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 265306 + ... + 265406.

It is an arithmetic number, because the mean of its divisors is an integer number (520268).

Almost surely, 2^26800956 is an apocalyptic number.

26800956 is a gapful number since it is divisible by the number (26) 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 26800956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43702512).

26800956 is an abundant number, since it is smaller than the sum of its proper divisors (60604068).

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

26800956 is a wasteful number, since it uses less digits than its factorization.

26800956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 26800956 is about 5176.9639751499. The cubic root of 26800956 is about 299.2609809979.

The spelling of 26800956 in words is "twenty-six million, eight hundred thousand, nine hundred fifty-six".