36826496 has 64 divisors (see below), whose sum is σ = 87540480. Its totient is φ = 15088128.

The previous prime is 36826459. The next prime is 36826499. The reversal of 36826496 is 69462863.

36826496 = 396² + 397² + ... + 556².

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36826499) 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 7 ways as a sum of consecutive naturals, for example, 19715 + ... + 21501.

It is an arithmetic number, because the mean of its divisors is an integer number (1367820).

Almost surely, 2^36826496 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 36826496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43770240).

36826496 is an abundant number, since it is smaller than the sum of its proper divisors (50713984).

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

36826496 is a wasteful number, since it uses less digits than its factorization.

36826496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1819 counting only the distinct ones).

The product of its digits is 373248, while the sum is 44.

The square root of 36826496 is about 6068.4838304143. The cubic root of 36826496 is about 332.7005095848.

The spelling of 36826496 in words is "thirty-six million, eight hundred twenty-six thousand, four hundred ninety-six".