827041152 has 128 divisors (see below), whose sum is σ = 2521244160. Its totient is φ = 235302912.

The previous prime is 827041087. The next prime is 827041223. The reversal of 827041152 is 251140728.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 840853 + ... + 841835.

It is an arithmetic number, because the mean of its divisors is an integer number (19697220).

Almost surely, 2^827041152 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 827041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260622080).

827041152 is an abundant number, since it is smaller than the sum of its proper divisors (1694203008).

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

827041152 is a wasteful number, since it uses less digits than its factorization.

827041152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 827041152 is about 28758.3231778211. The cubic root of 827041152 is about 938.6615748834.

The spelling of 827041152 in words is "eight hundred twenty-seven million, forty-one thousand, one hundred fifty-two".