24206420 has 48 divisors (see below), whose sum is σ = 59461248. Its totient is φ = 8104320.

The previous prime is 24206411. The next prime is 24206423. The reversal of 24206420 is 2460242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 24206392 and 24206401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24206423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4010 + ... + 8030.

It is an arithmetic number, because the mean of its divisors is an integer number (1238776).

Almost surely, 2^24206420 is an apocalyptic number.

24206420 is a gapful number since it is divisible by the number (20) 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 24206420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29730624).

24206420 is an abundant number, since it is smaller than the sum of its proper divisors (35254828).

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

24206420 is a wasteful number, since it uses less digits than its factorization.

24206420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 24206420 is about 4920.0020325199. The cubic root of 24206420 is about 289.2745243275.

Subtracting from 24206420 its sum of digits (20), we obtain a square (24206400 = 4920²).

Adding to 24206420 its reverse (2460242), we get a palindrome (26666662).

The spelling of 24206420 in words is "twenty-four million, two hundred six thousand, four hundred twenty".