993636 has 36 divisors (see below), whose sum is σ = 2871232. Its totient is φ = 283824.

The previous prime is 993617. The next prime is 993647. The reversal of 993636 is 636399.

993636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 993636.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 993636.

It is an unprimeable number.

993636 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1720 + ... + 2223.

2⁹⁹³⁶³⁶ is an apocalyptic number.

It is an amenable number.

993636 is an abundant number, since it is smaller than the sum of its proper divisors (1877596).

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

993636 is a wasteful number, since it uses less digits than its factorization.

993636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960 (or 3955 counting only the distinct ones).

The product of its digits is 26244, while the sum is 36.

The square root of 993636 is about 996.8129212646. The cubic root of 993636 is about 99.7874150634.

It can be divided in two parts, 9 and 93636, that multiplied together give a square (842724 = 918²).

The spelling of 993636 in words is "nine hundred ninety-three thousand, six hundred thirty-six".