36623520 has 144 divisors (see below), whose sum is σ = 129434760. Its totient is φ = 9418752.

The previous prime is 36623497. The next prime is 36623527. The reversal of 36623520 is 2532663.

36623520 is a `hidden beast` number, since 36 + 623 + 5 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34152336 + 2471184 = 5844^2 + 1572^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (36623527) 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 23 ways as a sum of consecutive naturals, for example, 41322 + ... + 42198.

Almost surely, 2^36623520 is an apocalyptic number.

36623520 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 36623520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64717380).

36623520 is an abundant number, since it is smaller than the sum of its proper divisors (92811240).

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

36623520 is a wasteful number, since it uses less digits than its factorization.

36623520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 36623520 is about 6051.7369407468. The cubic root of 36623520 is about 332.0881364686.

The spelling of 36623520 in words is "thirty-six million, six hundred twenty-three thousand, five hundred twenty".