20360400 has 180 divisors, whose sum is σ = 70299072. Its totient is φ = 5034240.

The previous prime is 20360399. The next prime is 20360423. The reversal of 20360400 is 406302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20360400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 433177 + ... + 433223.

Almost surely, 2^20360400 is an apocalyptic number.

20360400 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 20360400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35149536).

20360400 is an abundant number, since it is smaller than the sum of its proper divisors (49938672).

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

20360400 is a wasteful number, since it uses less digits than its factorization.

20360400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 20360400 is about 4512.2499930744. The cubic root of 20360400 is about 273.0625250930.

Adding to 20360400 its reverse (406302), we get a palindrome (20766702).

The spelling of 20360400 in words is "twenty million, three hundred sixty thousand, four hundred".