36368080 has 80 divisors (see below), whose sum is σ = 97743744. Its totient is φ = 12326400.

The previous prime is 36368063. The next prime is 36368081. The reversal of 36368080 is 8086363.

36368080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36368081) 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 15 ways as a sum of consecutive naturals, for example, 56239 + ... + 56881.

Almost surely, 2^36368080 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 36368080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48871872).

36368080 is an abundant number, since it is smaller than the sum of its proper divisors (61375664).

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

36368080 is a wasteful number, since it uses less digits than its factorization.

36368080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 36368080 is about 6030.5953271630. The cubic root of 36368080 is about 331.3142569067.

The spelling of 36368080 in words is "thirty-six million, three hundred sixty-eight thousand, eighty".