20633634 has 48 divisors (see below), whose sum is σ = 51734592. Its totient is φ = 5821344.

The previous prime is 20633633. The next prime is 20633651. The reversal of 20633634 is 43633602.

20633634 is a `hidden beast` number, since 20 + 6 + 3 + 3 + 634 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20633598 and 20633607.

It is not an unprimeable number, because it can be changed into a prime (20633633) 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, 9472 + ... + 11444.

It is an arithmetic number, because the mean of its divisors is an integer number (1077804).

Almost surely, 2^20633634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20633634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25867296).

20633634 is an abundant number, since it is smaller than the sum of its proper divisors (31100958).

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

20633634 is a wasteful number, since it uses less digits than its factorization.

20633634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 20633634 is about 4542.4260038002. The cubic root of 20633634 is about 274.2785896122.

The spelling of 20633634 in words is "twenty million, six hundred thirty-three thousand, six hundred thirty-four".