312145680 has 480 divisors, whose sum is σ = 1302773760. Its totient is φ = 60963840.

The previous prime is 312145667. The next prime is 312145681. The reversal of 312145680 is 86541213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (312145681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2457777 + ... + 2457903.

It is an arithmetic number, because the mean of its divisors is an integer number (2714112).

Almost surely, 2^312145680 is an apocalyptic number.

312145680 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 312145680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651386880).

312145680 is an abundant number, since it is smaller than the sum of its proper divisors (990628080).

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

312145680 is a wasteful number, since it uses less digits than its factorization.

312145680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 312145680 is about 17667.6450043575. The cubic root of 312145680 is about 678.3478345027.

Adding to 312145680 its reverse (86541213), we get a palindrome (398686893).

The spelling of 312145680 in words is "three hundred twelve million, one hundred forty-five thousand, six hundred eighty".