36637620 has 96 divisors (see below), whose sum is σ = 108380160. Its totient is φ = 9229440.

The previous prime is 36637613. The next prime is 36637621. The reversal of 36637620 is 2673663.

36637620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36637621) 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 31 ways as a sum of consecutive naturals, for example, 191725 + ... + 191915.

It is an arithmetic number, because the mean of its divisors is an integer number (1128960).

Almost surely, 2^36637620 is an apocalyptic number.

36637620 is a gapful number since it is divisible by the number (30) 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 36637620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54190080).

36637620 is an abundant number, since it is smaller than the sum of its proper divisors (71742540).

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

36637620 is a wasteful number, since it uses less digits than its factorization.

36637620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 36637620 is about 6052.9017834424. The cubic root of 36637620 is about 332.1307488112.

The spelling of 36637620 in words is "thirty-six million, six hundred thirty-seven thousand, six hundred twenty".