825546420 has 72 divisors (see below), whose sum is σ = 2521045800. Its totient is φ = 218661120.

The previous prime is 825546419. The next prime is 825546443. The reversal of 825546420 is 24645528.

It is a happy number.

825546420 is a `hidden beast` number, since 8 + 2 + 5 + 5 + 4 + 642 + 0 = 666.

825546420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1971216 + 823575204 = 1404^2 + 28698^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11430 + ... + 42210.

It is an arithmetic number, because the mean of its divisors is an integer number (35014525).

Almost surely, 2^825546420 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 825546420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260522900).

825546420 is an abundant number, since it is smaller than the sum of its proper divisors (1695499380).

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

825546420 is a wasteful number, since it uses less digits than its factorization.

825546420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30945 (or 30940 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 825546420 is about 28732.3236094821. The cubic root of 825546420 is about 938.0957450801.

The spelling of 825546420 in words is "eight hundred twenty-five million, five hundred forty-six thousand, four hundred twenty".