312106536 has 192 divisors, whose sum is σ = 1038960000. Its totient is φ = 82612224.

The previous prime is 312106517. The next prime is 312106577. The reversal of 312106536 is 635601213.

312106536 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 0 + 653 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 625215 + ... + 625713.

It is an arithmetic number, because the mean of its divisors is an integer number (5411250).

Almost surely, 2^312106536 is an apocalyptic number.

312106536 is a gapful number since it is divisible by the number (36) 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 312106536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519480000).

312106536 is an abundant number, since it is smaller than the sum of its proper divisors (726853464).

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

312106536 is a wasteful number, since it uses less digits than its factorization.

312106536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 312106536 is about 17666.5371819154. The cubic root of 312106536 is about 678.3194777029.

Adding to 312106536 its reverse (635601213), we get a palindrome (947707749).

The spelling of 312106536 in words is "three hundred twelve million, one hundred six thousand, five hundred thirty-six".