825806688 has 96 divisors (see below), whose sum is σ = 2623186944. Its totient is φ = 222062592.

The previous prime is 825806659. The next prime is 825806689. The reversal of 825806688 is 886608528.

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

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 825806688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825806689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24720 + ... + 47567.

It is an arithmetic number, because the mean of its divisors is an integer number (27324864).

Almost surely, 2^825806688 is an apocalyptic number.

It is an amenable number.

825806688 is an abundant number, since it is smaller than the sum of its proper divisors (1797380256).

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

825806688 is a wasteful number, since it uses less digits than its factorization.

825806688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72324 (or 72316 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The square root of 825806688 is about 28736.8524372451. The cubic root of 825806688 is about 938.1943184386.

The spelling of 825806688 in words is "eight hundred twenty-five million, eight hundred six thousand, six hundred eighty-eight".