825640272 has 30 divisors (see below), whose sum is σ = 2310646442. Its totient is φ = 275213376.

The previous prime is 825640271. The next prime is 825640279. The reversal of 825640272 is 272046528.

825640272 is a `hidden beast` number, since 8 + 2 + 5 + 640 + 2 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 645973056 + 179667216 = 25416^2 + 13404^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825640271) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2866663 + ... + 2866950.

Almost surely, 2^825640272 is an apocalyptic number.

It is an amenable number.

825640272 is an abundant number, since it is smaller than the sum of its proper divisors (1485006170).

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

825640272 is a wasteful number, since it uses less digits than its factorization.

825640272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5733627 (or 5733618 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 825640272 is about 28733.9567759124. The cubic root of 825640272 is about 938.1312927786.

The spelling of 825640272 in words is "eight hundred twenty-five million, six hundred forty thousand, two hundred seventy-two".