36826848 has 72 divisors (see below), whose sum is σ = 106260336. Its totient is φ = 12096000.

The previous prime is 36826847. The next prime is 36826871. The reversal of 36826848 is 84862863.

It is a happy number.

36826848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36826847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19548 + ... + 21348.

It is an arithmetic number, because the mean of its divisors is an integer number (1475838).

Almost surely, 2^36826848 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 36826848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53130168).

36826848 is an abundant number, since it is smaller than the sum of its proper divisors (69433488).

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

36826848 is a wasteful number, since it uses less digits than its factorization.

36826848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1877 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 36826848 is about 6068.5128326469. The cubic root of 36826848 is about 332.7015696024.

The spelling of 36826848 in words is "thirty-six million, eight hundred twenty-six thousand, eight hundred forty-eight".