20160400 has 60 divisors (see below), whose sum is σ = 52174612. Its totient is φ = 7441920.

The previous prime is 20160391. The next prime is 20160401. The reversal of 20160400 is 406102.

It can be written as a sum of positive squares in 6 ways, for example, as 4064256 + 16096144 = 2016^2 + 4012^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (20160401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3262 + ... + 7138.

Almost surely, 2^20160400 is an apocalyptic number.

20160400 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 20160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26087306).

20160400 is an abundant number, since it is smaller than the sum of its proper divisors (32014212).

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

20160400 is a wasteful number, since it uses less digits than its factorization.

20160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 20160400 is about 4490.0334074481. The cubic root of 20160400 is about 272.1654846506.

Adding to 20160400 its reverse (406102), we get a palindrome (20566502).

The spelling of 20160400 in words is "twenty million, one hundred sixty thousand, four hundred".