825486336 has 176 divisors, whose sum is σ = 2484239200. Its totient is φ = 270729216.

The previous prime is 825486329. The next prime is 825486341. The reversal of 825486336 is 633684528.

It is a happy number.

825486336 is a `hidden beast` number, since 8 + 2 + 5 + 4 + 8 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 825486291 and 825486300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2018100 + ... + 2018508.

Almost surely, 2^825486336 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 825486336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242119600).

825486336 is an abundant number, since it is smaller than the sum of its proper divisors (1658752864).

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

825486336 is a wasteful number, since it uses less digits than its factorization.

825486336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 487 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 825486336 is about 28731.2780084701. The cubic root of 825486336 is about 938.0729860481.

The spelling of 825486336 in words is "eight hundred twenty-five million, four hundred eighty-six thousand, three hundred thirty-six".