20727630 has 128 divisors (see below), whose sum is σ = 68981760. Its totient is φ = 4302720.

The previous prime is 20727601. The next prime is 20727643. The reversal of 20727630 is 3672702.

20727630 is a `hidden beast` number, since 2 + 0 + 7 + 27 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20727594 and 20727603.

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 63 ways as a sum of consecutive naturals, for example, 20292 + ... + 21288.

It is an arithmetic number, because the mean of its divisors is an integer number (538920).

Almost surely, 2^20727630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20727630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34490880).

20727630 is an abundant number, since it is smaller than the sum of its proper divisors (48254130).

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

20727630 is a wasteful number, since it uses less digits than its factorization.

20727630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 20727630 is about 4552.7607009374. The cubic root of 20727630 is about 274.6944485074.

The spelling of 20727630 in words is "twenty million, seven hundred twenty-seven thousand, six hundred thirty".