827421420 has 96 divisors (see below), whose sum is σ = 2684118528. Its totient is φ = 186527232.

The previous prime is 827421377. The next prime is 827421449. The reversal of 827421420 is 24124728.

827421420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17167 + ... + 44153.

It is an arithmetic number, because the mean of its divisors is an integer number (27959568).

Almost surely, 2^827421420 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 827421420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342059264).

827421420 is an abundant number, since it is smaller than the sum of its proper divisors (1856697108).

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

827421420 is a wasteful number, since it uses less digits than its factorization.

827421420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27079 (or 27077 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 827421420 is about 28764.9338605184. The cubic root of 827421420 is about 938.8054162816.

The spelling of 827421420 in words is "eight hundred twenty-seven million, four hundred twenty-one thousand, four hundred twenty".