825007968 has 72 divisors (see below), whose sum is σ = 2469612600. Its totient is φ = 260527104.

The previous prime is 825007913. The next prime is 825007969. The reversal of 825007968 is 869700528.

825007968 is a `hidden beast` number, since 82 + 500 + 7 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825007969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69913 + ... + 80856.

It is an arithmetic number, because the mean of its divisors is an integer number (34300175).

Almost surely, 2^825007968 is an apocalyptic number.

It is an amenable number.

825007968 is an abundant number, since it is smaller than the sum of its proper divisors (1644604632).

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

825007968 is a wasteful number, since it uses less digits than its factorization.

825007968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150804 (or 150793 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 825007968 is about 28722.9519374315. The cubic root of 825007968 is about 937.8917471070.

The spelling of 825007968 in words is "eight hundred twenty-five million, seven thousand, nine hundred sixty-eight".