825706656 has 96 divisors (see below), whose sum is σ = 2424643200. Its totient is φ = 273369600.

The previous prime is 825706649. The next prime is 825706691. The reversal of 825706656 is 656607528.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127300 + ... + 133628.

It is an arithmetic number, because the mean of its divisors is an integer number (25256700).

Almost surely, 2^825706656 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 825706656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212321600).

825706656 is an abundant number, since it is smaller than the sum of its proper divisors (1598936544).

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

825706656 is a wasteful number, since it uses less digits than its factorization.

825706656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6499 (or 6485 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 825706656 is about 28735.1119016440. Note that the first 3 decimals coincide. The cubic root of 825706656 is about 938.1564349787.

The spelling of 825706656 in words is "eight hundred twenty-five million, seven hundred six thousand, six hundred fifty-six".