36775640 has 128 divisors (see below), whose sum is σ = 97977600. Its totient is φ = 12280320.

The previous prime is 36775639. The next prime is 36775649. The reversal of 36775640 is 4657763.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 36775594 and 36775603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36775649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443039 + ... + 443121.

It is an arithmetic number, because the mean of its divisors is an integer number (765450).

Almost surely, 2^36775640 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 36775640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48988800).

36775640 is an abundant number, since it is smaller than the sum of its proper divisors (61201960).

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

36775640 is a wasteful number, since it uses less digits than its factorization.

36775640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 38.

The square root of 36775640 is about 6064.2922093184. The cubic root of 36775640 is about 332.5472900873.

The spelling of 36775640 in words is "thirty-six million, seven hundred seventy-five thousand, six hundred forty".