312800620 has 48 divisors (see below), whose sum is σ = 726451488. Its totient is φ = 112181760.

The previous prime is 312800599. The next prime is 312800669. The reversal of 312800620 is 26008213.

312800620 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 (22).

It is a junction number, because it is equal to n+sod(n) for n = 312800591 and 312800600.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6322 + ... + 25798.

It is an arithmetic number, because the mean of its divisors is an integer number (15134406).

Almost surely, 2^312800620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312800620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363225744).

312800620 is an abundant number, since it is smaller than the sum of its proper divisors (413650868).

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

312800620 is a wasteful number, since it uses less digits than its factorization.

312800620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19570 (or 19568 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 312800620 is about 17686.1703033755. The cubic root of 312800620 is about 678.8219366024.

Adding to 312800620 its reverse (26008213), we get a palindrome (338808833).

The spelling of 312800620 in words is "three hundred twelve million, eight hundred thousand, six hundred twenty".