36065760 has 96 divisors (see below), whose sum is σ = 114452352. Its totient is φ = 9546240.

The previous prime is 36065753. The next prime is 36065761. The reversal of 36065760 is 6756063.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36065761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108795 + ... + 109125.

It is an arithmetic number, because the mean of its divisors is an integer number (1192212).

Almost surely, 2^36065760 is an apocalyptic number.

36065760 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 36065760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57226176).

36065760 is an abundant number, since it is smaller than the sum of its proper divisors (78386592).

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

36065760 is a wasteful number, since it uses less digits than its factorization.

36065760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 36065760 is about 6005.4774997497. The cubic root of 36065760 is about 330.3936532774.

The spelling of 36065760 in words is "thirty-six million, sixty-five thousand, seven hundred sixty".