36576360 has 192 divisors, whose sum is σ = 127370880. Its totient is φ = 9434880.

The previous prime is 36576341. The next prime is 36576361. The reversal of 36576360 is 6367563.

It is a super-2 number, since 2×36576360² = 2675660221699200, which contains 22 as substring.

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 (36576361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 515125 + ... + 515195.

It is an arithmetic number, because the mean of its divisors is an integer number (663390).

Almost surely, 2^36576360 is an apocalyptic number.

36576360 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 36576360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63685440).

36576360 is an abundant number, since it is smaller than the sum of its proper divisors (90794520).

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

36576360 is a wasteful number, since it uses less digits than its factorization.

36576360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 36576360 is about 6047.8392835789. The cubic root of 36576360 is about 331.9455322655.

The spelling of 36576360 in words is "thirty-six million, five hundred seventy-six thousand, three hundred sixty".