20097630 has 192 divisors, whose sum is σ = 66493440. Its totient is φ = 4105728.

The previous prime is 20097629. The next prime is 20097643. The reversal of 20097630 is 3679002.

20097630 is a `hidden beast` number, since 20 + 0 + 9 + 7 + 630 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20097594 and 20097603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 275274 + ... + 275346.

It is an arithmetic number, because the mean of its divisors is an integer number (346320).

Almost surely, 2^20097630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20097630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33246720).

20097630 is an abundant number, since it is smaller than the sum of its proper divisors (46395810).

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

20097630 is a wasteful number, since it uses less digits than its factorization.

20097630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 20097630 is about 4483.0380324061. The cubic root of 20097630 is about 271.8827259001.

The spelling of 20097630 in words is "twenty million, ninety-seven thousand, six hundred thirty".