825967368 has 60 divisors (see below), whose sum is σ = 2315524365. Its totient is φ = 275078592.

The previous prime is 825967309. The next prime is 825967381. The reversal of 825967368 is 863769528.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 643231044 + 182736324 = 25362^2 + 13518^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=20322.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4354560) is a multiple of the sum of its prime divisors (1134).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 731028 + ... + 732156.

Almost surely, 2^825967368 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 825967368

825967368 is an abundant number, since it is smaller than the sum of its proper divisors (1489556997).

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

825967368 is an equidigital number, since it uses as much as digits as its factorization.

825967368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 1134 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 825967368 is about 28739.6480145460. The cubic root of 825967368 is about 938.2551637063.

The spelling of 825967368 in words is "eight hundred twenty-five million, nine hundred sixty-seven thousand, three hundred sixty-eight".