825640956 has 72 divisors (see below), whose sum is σ = 2390824800. Its totient is φ = 235339776.

The previous prime is 825640927. The next prime is 825640961. The reversal of 825640956 is 659046528.

825640956 is a `hidden beast` number, since 82 + 564 + 0 + 9 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109500 + ... + 116796.

It is an arithmetic number, because the mean of its divisors is an integer number (33205900).

Almost surely, 2^825640956 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 825640956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195412400).

825640956 is an abundant number, since it is smaller than the sum of its proper divisors (1565183844).

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

825640956 is a wasteful number, since it uses less digits than its factorization.

825640956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7763 (or 7758 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 825640956 is about 28733.9686782039. The cubic root of 825640956 is about 938.1315518429.

The spelling of 825640956 in words is "eight hundred twenty-five million, six hundred forty thousand, nine hundred fifty-six".