20948544 has 98 divisors (see below), whose sum is σ = 62464950. Its totient is φ = 6967296.

The previous prime is 20948537. The next prime is 20948563. The reversal of 20948544 is 44584902.

20948544 is a `hidden beast` number, since 20 + 94 + 8 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18662400 + 2286144 = 4320^2 + 1512^2 .

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 = 20948499 and 20948508.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46432 + ... + 46880.

Almost surely, 2^20948544 is an apocalyptic number.

20948544 is a gapful number since it is divisible by the number (24) 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 20948544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31232475).

20948544 is an abundant number, since it is smaller than the sum of its proper divisors (41516406).

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

20948544 is an frugal number, since it uses more digits than its factorization.

20948544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 20948544 is about 4576.9579416901. The cubic root of 20948544 is about 275.6668949228. Note that the first 3 decimals are identical.

The spelling of 20948544 in words is "twenty million, nine hundred forty-eight thousand, five hundred forty-four".