26306016 has 96 divisors (see below), whose sum is σ = 78019200. Its totient is φ = 7687680.

The previous prime is 26305991. The next prime is 26306017. The reversal of 26306016 is 61060362.

26306016 = 113² + 114² + ... + 431².

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26306017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30195 + ... + 31053.

It is an arithmetic number, because the mean of its divisors is an integer number (812700).

Almost surely, 2^26306016 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 26306016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39009600).

26306016 is an abundant number, since it is smaller than the sum of its proper divisors (51713184).

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

26306016 is a wasteful number, since it uses less digits than its factorization.

26306016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 26306016 is about 5128.9390715820. The cubic root of 26306016 is about 297.4073472744.

Adding to 26306016 its reverse (61060362), we get a palindrome (87366378).

It can be divided in two parts, 2630 and 6016, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 26306016 in words is "twenty-six million, three hundred six thousand, sixteen".