320121600 has 108 divisors (see below), whose sum is σ = 1056531336. Its totient is φ = 85360640.

The previous prime is 320121589. The next prime is 320121601. The reversal of 320121600 is 6121023.

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 320121600.

It is not an unprimeable number, because it can be changed into a prime (320121601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10864 + ... + 27536.

Almost surely, 2^320121600 is an apocalyptic number.

320121600 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 320121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528265668).

320121600 is an abundant number, since it is smaller than the sum of its proper divisors (736409736).

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

320121600 is a wasteful number, since it uses less digits than its factorization.

320121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16702 (or 16683 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 320121600 is about 17891.9423204972. The cubic root of 320121600 is about 684.0770064800.

Adding to 320121600 its reverse (6121023), we get a palindrome (326242623).

The spelling of 320121600 in words is "three hundred twenty million, one hundred twenty-one thousand, six hundred".