20648628 has 192 divisors, whose sum is σ = 72253440. Its totient is φ = 4924800.

The previous prime is 20648599. The next prime is 20648647. The reversal of 20648628 is 82684602.

20648628 is a `hidden beast` number, since 2 + 0 + 648 + 6 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20648592 and 20648601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108013 + ... + 108203.

It is an arithmetic number, because the mean of its divisors is an integer number (376320).

Almost surely, 2^20648628 is an apocalyptic number.

20648628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20648628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36126720).

20648628 is an abundant number, since it is smaller than the sum of its proper divisors (51604812).

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

20648628 is a wasteful number, since it uses less digits than its factorization.

20648628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 20648628 is about 4544.0761437282. The cubic root of 20648628 is about 274.3450108965.

The spelling of 20648628 in words is "twenty million, six hundred forty-eight thousand, six hundred twenty-eight".