36786560 has 64 divisors (see below), whose sum is σ = 88678800. Its totient is φ = 14592000.

The previous prime is 36786517. The next prime is 36786569. The reversal of 36786560 is 6568763.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36786569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146435 + ... + 146685.

Almost surely, 2^36786560 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 36786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44339400).

36786560 is an abundant number, since it is smaller than the sum of its proper divisors (51892240).

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

36786560 is a wasteful number, since it uses less digits than its factorization.

36786560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 36786560 is about 6065.1924948842. The cubic root of 36786560 is about 332.5802018828.

The spelling of 36786560 in words is "thirty-six million, seven hundred eighty-six thousand, five hundred sixty".