20948148 has 72 divisors (see below), whose sum is σ = 60402888. Its totient is φ = 6064128.

The previous prime is 20948143. The next prime is 20948149. The reversal of 20948148 is 84184902.

It can be written as a sum of positive squares in 4 ways, for example, as 535824 + 20412324 = 732^2 + 4518^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20948143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6640 + ... + 9272.

It is an arithmetic number, because the mean of its divisors is an integer number (838929).

Almost surely, 2^20948148 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 20948148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30201444).

20948148 is an abundant number, since it is smaller than the sum of its proper divisors (39454740).

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

20948148 is a wasteful number, since it uses less digits than its factorization.

20948148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 20948148 is about 4576.9146813110. The cubic root of 20948148 is about 275.6651578923.

The spelling of 20948148 in words is "twenty million, nine hundred forty-eight thousand, one hundred forty-eight".