827960 has 32 divisors (see below), whose sum is σ = 2129760. Its totient is φ = 283776.

The previous prime is 827941. The next prime is 827969. The reversal of 827960 is 69728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1199 + ... + 1758.

It is an arithmetic number, because the mean of its divisors is an integer number (66555).

2⁸²⁷⁹⁶⁰ is an apocalyptic number.

It is an amenable number.

827960 is an abundant number, since it is smaller than the sum of its proper divisors (1301800).

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

827960 is a wasteful number, since it uses less digits than its factorization.

827960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 827960 is about 909.9230736716. The cubic root of 827960 is about 93.9009065894.

The spelling of 827960 in words is "eight hundred twenty-seven thousand, nine hundred sixty".