827015712 has 96 divisors (see below), whose sum is σ = 2245303872. Its totient is φ = 266333184.

The previous prime is 827015681. The next prime is 827015719. The reversal of 827015712 is 217510728.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (827015719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556923 + ... + 558405.

It is an arithmetic number, because the mean of its divisors is an integer number (23388582).

Almost surely, 2^827015712 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 827015712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122651936).

827015712 is an abundant number, since it is smaller than the sum of its proper divisors (1418288160).

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

827015712 is a wasteful number, since it uses less digits than its factorization.

827015712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 827015712 is about 28757.8808676856. The cubic root of 827015712 is about 938.6519502937.

The spelling of 827015712 in words is "eight hundred twenty-seven million, fifteen thousand, seven hundred twelve".