8001312 has 48 divisors (see below), whose sum is σ = 22915872. Its totient is φ = 2424320.

The previous prime is 8001307. The next prime is 8001347. The reversal of 8001312 is 2131008.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 8001291 and 8001300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2733 + ... + 4844.

It is an arithmetic number, because the mean of its divisors is an integer number (477414).

Almost surely, 2^8001312 is an apocalyptic number.

It is an amenable number.

8001312 is an abundant number, since it is smaller than the sum of its proper divisors (14914560).

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

8001312 is a wasteful number, since it uses less digits than its factorization.

8001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7601 (or 7593 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 8001312 is about 2828.6590462620. The cubic root of 8001312 is about 200.0109327357.

It can be divided in two parts, 800 and 1312, that added together give a palindrome (2112).

The spelling of 8001312 in words is "eight million, one thousand, three hundred twelve".