20358144 has 99 divisors (see below), whose sum is σ = 60061027. Its totient is φ = 6641664.

The previous prime is 20358137. The next prime is 20358161. The reversal of 20358144 is 44185302.

The square root of 20358144 is 4512.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 433129 + ... + 433175.

Almost surely, 2^20358144 is an apocalyptic number.

20358144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20358144 is the 4512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20358144

20358144 is an abundant number, since it is smaller than the sum of its proper divisors (39702883).

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

20358144 is an equidigital number, since it uses as much as digits as its factorization.

20358144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 52 counting only the distinct ones).

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

The cubic root of 20358144 is about 273.0524393087.

It can be divided in two parts, 20358 and 144, that added together give a palindrome (20502).

The spelling of 20358144 in words is "twenty million, three hundred fifty-eight thousand, one hundred forty-four".