36680436 has 54 divisors (see below), whose sum is σ = 100417590. Its totient is φ = 11284416.

The previous prime is 36680429. The next prime is 36680437. The reversal of 36680436 is 63408663.

It can be written as a sum of positive squares in 3 ways, for example, as 2528100 + 34152336 = 1590^2 + 5844^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 36680436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36680437) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3070 + ... + 9098.

It is an arithmetic number, because the mean of its divisors is an integer number (1859585).

Almost surely, 2^36680436 is an apocalyptic number.

36680436 is a gapful number since it is divisible by the number (36) 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 36680436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50208795).

36680436 is an abundant number, since it is smaller than the sum of its proper divisors (63737154).

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

36680436 is a wasteful number, since it uses less digits than its factorization.

36680436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6065 (or 6047 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 36680436 is about 6056.4375667549. The cubic root of 36680436 is about 332.2600783019.

The spelling of 36680436 in words is "thirty-six million, six hundred eighty thousand, four hundred thirty-six".