20842272 has 240 divisors, whose sum is σ = 72448992. Its totient is φ = 5806080.

The previous prime is 20842247. The next prime is 20842277. The reversal of 20842272 is 27224802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20842277) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 484683 + ... + 484725.

Almost surely, 2^20842272 is an apocalyptic number.

20842272 is a gapful number since it is divisible by the number (22) 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 20842272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36224496).

20842272 is an abundant number, since it is smaller than the sum of its proper divisors (51606720).

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

20842272 is a wasteful number, since it uses less digits than its factorization.

20842272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 20842272 is about 4565.3337227414. Note that the first 3 decimals coincide. The cubic root of 20842272 is about 275.1999515504.

It can be divided in two parts, 2084 and 2272, that added together give a square (4356 = 66²).

The spelling of 20842272 in words is "twenty million, eight hundred forty-two thousand, two hundred seventy-two".