36820624 has 45 divisors (see below), whose sum is σ = 75152091. Its totient is φ = 17475840.

The previous prime is 36820621. The next prime is 36820627. The reversal of 36820624 is 42602863.

The square root of 36820624 is 6068.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (36820621) and next prime (36820627).

It can be written as a sum of positive squares in 4 ways, for example, as 435600 + 36385024 = 660^2 + 6032^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36820621) 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 8 ways as a sum of consecutive naturals, for example, 898044 + ... + 898084.

Almost surely, 2^36820624 is an apocalyptic number.

36820624 is the 6068-th square number.

It is an amenable number.

36820624 is an abundant number, since it is smaller than the sum of its proper divisors (38331467).

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

36820624 is an equidigital number, since it uses as much as digits as its factorization.

36820624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The cubic root of 36820624 is about 332.6828255670.

The spelling of 36820624 in words is "thirty-six million, eight hundred twenty thousand, six hundred twenty-four".