20123648 has 52 divisors (see below), whose sum is σ = 42757020. Its totient is φ = 9469952.

The previous prime is 20123633. The next prime is 20123659. The reversal of 20123648 is 84632102.

The cubic root of 20123648 is 272.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 11075584 + 9048064 = 3328^2 + 3008^2 .

It is a super-2 number, since 2×20123648² = 809922417655808, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1183736 + ... + 1183752.

Almost surely, 2^20123648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20123648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21378510).

20123648 is an abundant number, since it is smaller than the sum of its proper divisors (22633372).

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

20123648 is an frugal number, since it uses more digits than its factorization.

20123648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 20123648 is about 4485.9389206720.

The spelling of 20123648 in words is "twenty million, one hundred twenty-three thousand, six hundred forty-eight".