36005632 has 72 divisors (see below), whose sum is σ = 80124800. Its totient is φ = 16035840.

The previous prime is 36005581. The next prime is 36005633. The reversal of 36005632 is 23650063.

It is a junction number, because it is equal to n+sod(n) for n = 36005597 and 36005606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36005633) 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, 102994 + ... + 103342.

Almost surely, 2^36005632 is an apocalyptic number.

36005632 is a gapful number since it is divisible by the number (32) 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 36005632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40062400).

36005632 is an abundant number, since it is smaller than the sum of its proper divisors (44119168).

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

36005632 is a wasteful number, since it uses less digits than its factorization.

36005632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 36005632 is about 6000.4693149786. The cubic root of 36005632 is about 330.2099429307.

Adding to 36005632 its reverse (23650063), we get a palindrome (59655695).

The spelling of 36005632 in words is "thirty-six million, five thousand, six hundred thirty-two".