20506248 has 192 divisors, whose sum is σ = 69638400. Its totient is φ = 5322240.

The previous prime is 20506247. The next prime is 20506249. The reversal of 20506248 is 84260502.

It is an interprime number because it is at equal distance from previous prime (20506247) and next prime (20506249).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20506243) 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 47 ways as a sum of consecutive naturals, for example, 336138 + ... + 336198.

It is an arithmetic number, because the mean of its divisors is an integer number (362700).

It is a vampire number, since it can be written as 2562 ⋅ 8004 (with its own digits).

Almost surely, 2^20506248 is an apocalyptic number.

20506248 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 20506248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34819200).

20506248 is an abundant number, since it is smaller than the sum of its proper divisors (49132152).

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

20506248 is a wasteful number, since it uses less digits than its factorization.

20506248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 20506248 is about 4528.3824926788. The cubic root of 20506248 is about 273.7129855502.

The spelling of 20506248 in words is "twenty million, five hundred six thousand, two hundred forty-eight".