825553620 has 144 divisors (see below), whose sum is σ = 2667694848. Its totient is φ = 214151040.

The previous prime is 825553613. The next prime is 825553669. The reversal of 825553620 is 26355528.

It is a happy number.

825553620 is a `hidden beast` number, since 8 + 25 + 5 + 5 + 3 + 620 = 666.

825553620 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177525 + ... + 182115.

Almost surely, 2^825553620 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 825553620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333847424).

825553620 is an abundant number, since it is smaller than the sum of its proper divisors (1842141228).

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

825553620 is a wasteful number, since it uses less digits than its factorization.

825553620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4652 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 825553620 is about 28732.4489036351. The cubic root of 825553620 is about 938.0984722717.

The spelling of 825553620 in words is "eight hundred twenty-five million, five hundred fifty-three thousand, six hundred twenty".