312040620 has 96 divisors (see below), whose sum is σ = 986811840. Its totient is φ = 81838080.

The previous prime is 312040583. The next prime is 312040657. The reversal of 312040620 is 26040213.

It is a happy number.

312040620 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 40 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (312040583) and next prime (312040657).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312040593 and 312040602.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28204 + ... + 37676.

It is an arithmetic number, because the mean of its divisors is an integer number (10279290).

Almost surely, 2^312040620 is an apocalyptic number.

312040620 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 312040620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493405920).

312040620 is an abundant number, since it is smaller than the sum of its proper divisors (674771220).

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

312040620 is a wasteful number, since it uses less digits than its factorization.

312040620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9552 (or 9544 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 312040620 is about 17664.6715225616. The cubic root of 312040620 is about 678.2717213018.

Adding to 312040620 its reverse (26040213), we get a palindrome (338080833).

The spelling of 312040620 in words is "three hundred twelve million, forty thousand, six hundred twenty".