825047360 has 28 divisors (see below), whose sum is σ = 1964644788. Its totient is φ = 330018816.

The previous prime is 825047351. The next prime is 825047369. The reversal of 825047360 is 63740528.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (825047351) and next prime (825047369).

It can be written as a sum of positive squares in 2 ways, for example, as 465869056 + 359178304 = 21584^2 + 18952^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 825047360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825047369) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1288817 + ... + 1289456.

Almost surely, 2^825047360 is an apocalyptic number.

825047360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

825047360 is an abundant number, since it is smaller than the sum of its proper divisors (1139597428).

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

825047360 is a wasteful number, since it uses less digits than its factorization.

825047360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578290 (or 2578280 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 825047360 is about 28723.6376526372. The cubic root of 825047360 is about 937.9066741724.

Adding to 825047360 its reverse (63740528), we get a palindrome (888787888).

The spelling of 825047360 in words is "eight hundred twenty-five million, forty-seven thousand, three hundred sixty".