825562368 has 216 divisors, whose sum is σ = 2580247488. Its totient is φ = 262766592.

The previous prime is 825562351. The next prime is 825562373. The reversal of 825562368 is 863265528.

825562368 is a `hidden beast` number, since 8 + 25 + 562 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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, 1430496 + ... + 1431072.

Almost surely, 2^825562368 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 825562368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290123744).

825562368 is an abundant number, since it is smaller than the sum of its proper divisors (1754685120).

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

825562368 is an equidigital number, since it uses as much as digits as its factorization.

825562368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 605 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 825562368 is about 28732.6011352958. The cubic root of 825562368 is about 938.1017857881.

The spelling of 825562368 in words is "eight hundred twenty-five million, five hundred sixty-two thousand, three hundred sixty-eight".