36544560 has 240 divisors, whose sum is σ = 132339744. Its totient is φ = 8306688.

The previous prime is 36544549. The next prime is 36544561. The reversal of 36544560 is 6544563.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36544561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 689494 + ... + 689546.

Almost surely, 2^36544560 is an apocalyptic number.

36544560 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 36544560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66169872).

36544560 is an abundant number, since it is smaller than the sum of its proper divisors (95795184).

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

36544560 is a wasteful number, since it uses less digits than its factorization.

36544560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 36544560 is about 6045.2096737830. The cubic root of 36544560 is about 331.8493050070.

The spelling of 36544560 in words is "thirty-six million, five hundred forty-four thousand, five hundred sixty".