312601104 has 60 divisors (see below), whose sum is σ = 885955200. Its totient is φ = 102877632.

The previous prime is 312601103. The next prime is 312601109. The reversal of 312601104 is 401106213.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312601103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2364 + ... + 25115.

It is an arithmetic number, because the mean of its divisors is an integer number (14765920).

Almost surely, 2^312601104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312601104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442977600).

312601104 is an abundant number, since it is smaller than the sum of its proper divisors (573354096).

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

312601104 is a wasteful number, since it uses less digits than its factorization.

312601104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27572 (or 27563 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 312601104 is about 17680.5289513634. The cubic root of 312601104 is about 678.6775798520.

Adding to 312601104 its reverse (401106213), we get a palindrome (713707317).

The spelling of 312601104 in words is "three hundred twelve million, six hundred one thousand, one hundred four".