26782416 has 60 divisors (see below), whose sum is σ = 76207300. Its totient is φ = 8778240.

The previous prime is 26782409. The next prime is 26782423. The reversal of 26782416 is 61428762.

It is an interprime number because it is at equal distance from previous prime (26782409) and next prime (26782423).

It can be written as a sum of positive squares in 2 ways, for example, as 1742400 + 25040016 = 1320^2 + 5004^2 .

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7260 + ... + 10308.

Almost surely, 2^26782416 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 26782416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38103650).

26782416 is an abundant number, since it is smaller than the sum of its proper divisors (49424884).

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

26782416 is a wasteful number, since it uses less digits than its factorization.

26782416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124 (or 3115 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 26782416 is about 5175.1730405852. The cubic root of 26782416 is about 299.1919588524.

The spelling of 26782416 in words is "twenty-six million, seven hundred eighty-two thousand, four hundred sixteen".