825024960 has 448 divisors, whose sum is σ = 3179917440. Its totient is φ = 200540160.

The previous prime is 825024947. The next prime is 825024983. The reversal of 825024960 is 69420528.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 6022012 + ... + 6022148.

It is an arithmetic number, because the mean of its divisors is an integer number (7098030).

Almost surely, 2^825024960 is an apocalyptic number.

825024960 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 825024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589958720).

825024960 is an abundant number, since it is smaller than the sum of its proper divisors (2354892480).

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

825024960 is a wasteful number, since it uses less digits than its factorization.

825024960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 825024960 is about 28723.2477272331. The cubic root of 825024960 is about 937.8981860538.

The spelling of 825024960 in words is "eight hundred twenty-five million, twenty-four thousand, nine hundred sixty".