36764640 has 216 divisors, whose sum is σ = 138555144. Its totient is φ = 8870400.

The previous prime is 36764633. The next prime is 36764641. The reversal of 36764640 is 4646763.

36764640 = T₃₈₁ + T₃₈₂ + ... + T₆₅₀.

36764640 is a `hidden beast` number, since 3 + 6 + 7 + 6 + 4 + 640 = 666.

36764640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 36764595 and 36764604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36764641) 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 35 ways as a sum of consecutive naturals, for example, 174135 + ... + 174345.

It is an arithmetic number, because the mean of its divisors is an integer number (641459).

Almost surely, 2^36764640 is an apocalyptic number.

36764640 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 36764640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69277572).

36764640 is an abundant number, since it is smaller than the sum of its proper divisors (101790504).

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

36764640 is a wasteful number, since it uses less digits than its factorization.

36764640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 36764640 is about 6063.3851931079. The cubic root of 36764640 is about 332.5141305921.

The spelling of 36764640 in words is "thirty-six million, seven hundred sixty-four thousand, six hundred forty".