312712620 has 192 divisors, whose sum is σ = 1034643456. Its totient is φ = 69713920.

The previous prime is 312712601. The next prime is 312712627. The reversal of 312712620 is 26217213.

It is not an unprimeable number, because it can be changed into a prime (312712627) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 527044 + ... + 527636.

It is an arithmetic number, because the mean of its divisors is an integer number (5388768).

Almost surely, 2^312712620 is an apocalyptic number.

312712620 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 312712620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517321728).

312712620 is an abundant number, since it is smaller than the sum of its proper divisors (721930836).

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

312712620 is a wasteful number, since it uses less digits than its factorization.

312712620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 312712620 is about 17683.6823088405. The cubic root of 312712620 is about 678.7582731170.

Adding to 312712620 its reverse (26217213), we get a palindrome (338929833).

The spelling of 312712620 in words is "three hundred twelve million, seven hundred twelve thousand, six hundred twenty".