36688720 has 80 divisors (see below), whose sum is σ = 92203920. Its totient is φ = 13524992.

The previous prime is 36688709. The next prime is 36688733. The reversal of 36688720 is 2788663.

36688720 = T₆₀ + T₆₁ + ... + T₆₀₃.

It is a happy number.

36688720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4562496 + 32126224 = 2136^2 + 5668^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 71826 + ... + 72334.

It is an arithmetic number, because the mean of its divisors is an integer number (1152549).

Almost surely, 2^36688720 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 36688720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46101960).

36688720 is an abundant number, since it is smaller than the sum of its proper divisors (55515200).

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

36688720 is a wasteful number, since it uses less digits than its factorization.

36688720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 36688720 is about 6057.1214285335. The cubic root of 36688720 is about 332.2850892306.

The spelling of 36688720 in words is "thirty-six million, six hundred eighty-eight thousand, seven hundred twenty".