36364560 has 80 divisors (see below), whose sum is σ = 113343936. Its totient is φ = 9644544.

The previous prime is 36364507. The next prime is 36364561. The reversal of 36364560 is 6546363.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (36364561) 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, 66207 + ... + 66753.

Almost surely, 2^36364560 is an apocalyptic number.

36364560 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 36364560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56671968).

36364560 is an abundant number, since it is smaller than the sum of its proper divisors (76979376).

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

36364560 is a wasteful number, since it uses less digits than its factorization.

36364560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 36364560 is about 6030.3034749505. The cubic root of 36364560 is about 331.3035674613.

The spelling of 36364560 in words is "thirty-six million, three hundred sixty-four thousand, five hundred sixty".