312020520 has 64 divisors (see below), whose sum is σ = 1069787520. Its totient is φ = 71318784.

The previous prime is 312020509. The next prime is 312020539. The reversal of 312020520 is 25020213.

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 312020520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184887 + ... + 186566.

It is an arithmetic number, because the mean of its divisors is an integer number (16715430).

Almost surely, 2^312020520 is an apocalyptic number.

312020520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312020520 is an abundant number, since it is smaller than the sum of its proper divisors (757767000).

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

312020520 is a wasteful number, since it uses less digits than its factorization.

312020520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371474 (or 371470 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 312020520 is about 17664.1025812239. The cubic root of 312020520 is about 678.2571574347.

Adding to 312020520 its reverse (25020213), we get a palindrome (337040733).

The spelling of 312020520 in words is "three hundred twelve million, twenty thousand, five hundred twenty".