825624920 has 64 divisors (see below), whose sum is σ = 1912377600. Its totient is φ = 320664960.

The previous prime is 825624901. The next prime is 825624929. The reversal of 825624920 is 29426528.

825624920 = 3375² + 3376² + ... + 3445².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825624929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188111 + ... + 192449.

It is an arithmetic number, because the mean of its divisors is an integer number (29880900).

Almost surely, 2^825624920 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 825624920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956188800).

825624920 is an abundant number, since it is smaller than the sum of its proper divisors (1086752680).

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

825624920 is a wasteful number, since it uses less digits than its factorization.

825624920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4488 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 825624920 is about 28733.6896342951. The cubic root of 825624920 is about 938.1254781879.

The spelling of 825624920 in words is "eight hundred twenty-five million, six hundred twenty-four thousand, nine hundred twenty".