825740544 has 72 divisors (see below), whose sum is σ = 2257148320. Its totient is φ = 267798528.

The previous prime is 825740491. The next prime is 825740557. The reversal of 825740544 is 445047528.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13887 + ... + 42945.

Almost surely, 2^825740544 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 825740544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128574160).

825740544 is an abundant number, since it is smaller than the sum of its proper divisors (1431407776).

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

825740544 is a wasteful number, since it uses less digits than its factorization.

825740544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29115 (or 29101 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 39.

The square root of 825740544 is about 28735.7015574703. The cubic root of 825740544 is about 938.1692691615.

The spelling of 825740544 in words is "eight hundred twenty-five million, seven hundred forty thousand, five hundred forty-four".