827520 has 64 divisors (see below), whose sum is σ = 2643840. Its totient is φ = 220160.

The previous prime is 827501. The next prime is 827521. The reversal of 827520 is 25728.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1705 + ... + 2135.

It is an arithmetic number, because the mean of its divisors is an integer number (41310).

2⁸²⁷⁵²⁰ is an apocalyptic number.

827520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321920).

827520 is an abundant number, since it is smaller than the sum of its proper divisors (1816320).

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

827520 is a wasteful number, since it uses less digits than its factorization.

827520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 827520 is about 909.6812628608. The cubic root of 827520 is about 93.8842698276.

The spelling of 827520 in words is "eight hundred twenty-seven thousand, five hundred twenty".