320011200 has 252 divisors, whose sum is σ = 1157100048. Its totient is φ = 83865600.

The previous prime is 320011199. The next prime is 320011249. The reversal of 320011200 is 2110023.

It is a happy number.

320011200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 1022244 + ... + 1022556.

Almost surely, 2^320011200 is an apocalyptic number.

320011200 is a gapful number since it is divisible by the number (30) 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 320011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578550024).

320011200 is an abundant number, since it is smaller than the sum of its proper divisors (837088848).

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

320011200 is a wasteful number, since it uses less digits than its factorization.

320011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 320011200 is about 17888.8568667760. The cubic root of 320011200 is about 683.9983584653.

Adding to 320011200 its reverse (2110023), we get a palindrome (322121223).

It can be divided in two parts, 3200 and 11200, that added together give a square (14400 = 120²).

The spelling of 320011200 in words is "three hundred twenty million, eleven thousand, two hundred".