36332560 has 160 divisors (see below), whose sum is σ = 101243520. Its totient is φ = 11980800.

The previous prime is 36332539. The next prime is 36332561. The reversal of 36332560 is 6523363.

It is a super-3 number, since 3×36332560³ (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (36332561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685494 + ... + 685546.

It is an arithmetic number, because the mean of its divisors is an integer number (632772).

Almost surely, 2^36332560 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 36332560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50621760).

36332560 is an abundant number, since it is smaller than the sum of its proper divisors (64910960).

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

36332560 is a wasteful number, since it uses less digits than its factorization.

36332560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 28.

The square root of 36332560 is about 6027.6496248538. The cubic root of 36332560 is about 331.2063590306.

It can be divided in two parts, 363 and 32560, that added together give a palindrome (32923).

The spelling of 36332560 in words is "thirty-six million, three hundred thirty-two thousand, five hundred sixty".