26961336 has 128 divisors (see below), whose sum is σ = 80294400. Its totient is φ = 8468064.

The previous prime is 26961331. The next prime is 26961343. The reversal of 26961336 is 63316962.

26961336 is a `hidden beast` number, since 2 + 6 + 9 + 613 + 36 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 26961336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26961331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402375 + ... + 402441.

It is an arithmetic number, because the mean of its divisors is an integer number (627300).

Almost surely, 2^26961336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26961336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40147200).

26961336 is an abundant number, since it is smaller than the sum of its proper divisors (53333064).

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

26961336 is an equidigital number, since it uses as much as digits as its factorization.

26961336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 26961336 is about 5192.4306446981. The cubic root of 26961336 is about 299.8567315914.

It can be divided in two parts, 26961 and 336, that multiplied together give a triangular number (9058896 = T₄₂₅₆).

The spelling of 26961336 in words is "twenty-six million, nine hundred sixty-one thousand, three hundred thirty-six".