36206560 has 96 divisors (see below), whose sum is σ = 93562560. Its totient is φ = 13238784.

The previous prime is 36206551. The next prime is 36206561. The reversal of 36206560 is 6560263.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36206561) 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, 351469 + ... + 351571.

It is an arithmetic number, because the mean of its divisors is an integer number (974610).

Almost surely, 2^36206560 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 36206560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46781280).

36206560 is an abundant number, since it is smaller than the sum of its proper divisors (57356000).

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

36206560 is a wasteful number, since it uses less digits than its factorization.

36206560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 36206560 is about 6017.1887123473. The cubic root of 36206560 is about 330.8230450363.

The spelling of 36206560 in words is "thirty-six million, two hundred six thousand, five hundred sixty".