36538560 has 112 divisors (see below), whose sum is σ = 128930400. Its totient is φ = 9741312.

The previous prime is 36538487. The next prime is 36538561. The reversal of 36538560 is 6583563.

36538560 is a `hidden beast` number, since 3 + 65 + 38 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36538561) 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, 6526 + ... + 10754.

Almost surely, 2^36538560 is an apocalyptic number.

36538560 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 36538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64465200).

36538560 is an abundant number, since it is smaller than the sum of its proper divisors (92391840).

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

36538560 is a wasteful number, since it uses less digits than its factorization.

36538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4255 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 36538560 is about 6044.7133927094. The cubic root of 36538560 is about 331.8311426612.

The spelling of 36538560 in words is "thirty-six million, five hundred thirty-eight thousand, five hundred sixty".