2036736 has 132 divisors (see below), whose sum is σ = 6705972. Its totient is φ = 589824.

The previous prime is 2036711. The next prime is 2036747. The reversal of 2036736 is 6376302.

2036736 = 15³ + 16³ + ... + 53³.

It can be written as a sum of positive squares in 2 ways, for example, as 921600 + 1115136 = 960^2 + 1056^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 119800 + ... + 119816.

2^2036736 is an apocalyptic number.

2036736 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2036736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3352986).

2036736 is an abundant number, since it is smaller than the sum of its proper divisors (4669236).

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

2036736 is a wasteful number, since it uses less digits than its factorization.

2036736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 2036736 is about 1427.1425997426. The cubic root of 2036736 is about 126.7588371930.

It can be divided in two parts, 2036 and 736, that added together give a palindrome (2772).

The spelling of 2036736 in words is "two million, thirty-six thousand, seven hundred thirty-six".