36782656 has 28 divisors (see below), whose sum is σ = 73999852. Its totient is φ = 18137088.

The previous prime is 36782653. The next prime is 36782659. The reversal of 36782656 is 65628763.

It is an interprime number because it is at equal distance from previous prime (36782653) and next prime (36782659).

It can be written as a sum of positive squares in 2 ways, for example, as 8904256 + 27878400 = 2984^2 + 5280^2 .

It is not an unprimeable number, because it can be changed into a prime (36782653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 736 + ... + 8608.

Almost surely, 2^36782656 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 36782656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36999926).

36782656 is an abundant number, since it is smaller than the sum of its proper divisors (37217196).

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

36782656 is an equidigital number, since it uses as much as digits as its factorization.

36782656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7958 (or 7948 counting only the distinct ones).

The product of its digits is 362880, while the sum is 43.

The square root of 36782656 is about 6064.8706498985. The cubic root of 36782656 is about 332.5684363626.

The spelling of 36782656 in words is "thirty-six million, seven hundred eighty-two thousand, six hundred fifty-six".