20420000 has 60 divisors (see below), whose sum is σ = 50285466. Its totient is φ = 8160000.

The previous prime is 20419981. The next prime is 20420011. The reversal of 20420000 is 2402.

It can be written as a sum of positive squares in 5 ways, for example, as 456976 + 19963024 = 676^2 + 4468^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 20420000.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19490 + ... + 20510.

Almost surely, 2^20420000 is an apocalyptic number.

20420000 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 20420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25142733).

20420000 is an abundant number, since it is smaller than the sum of its proper divisors (29865466).

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

20420000 is an equidigital number, since it uses as much as digits as its factorization.

20420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 20420000 is about 4518.8494110780. The cubic root of 20420000 is about 273.3287063795.

Adding to 20420000 its reverse (2402), we get a palindrome (20422402).

The spelling of 20420000 in words is "twenty million, four hundred twenty thousand".