825006096 has 60 divisors (see below), whose sum is σ = 2310906780. Its totient is φ = 274759680.

The previous prime is 825006043. The next prime is 825006121. The reversal of 825006096 is 690600528.

825006096 is a `hidden beast` number, since 8 + 2 + 500 + 60 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 469155600 + 355850496 = 21660^2 + 18864^2 .

It is a super-2 number, since 2×825006096² = 1361270116874322432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 825006096.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246160 + ... + 249488.

It is an arithmetic number, because the mean of its divisors is an integer number (38515113).

Almost surely, 2^825006096 is an apocalyptic number.

It is an amenable number.

825006096 is an abundant number, since it is smaller than the sum of its proper divisors (1485900684).

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

825006096 is a wasteful number, since it uses less digits than its factorization.

825006096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5064 (or 5055 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 825006096 is about 28722.9193502332. The cubic root of 825006096 is about 937.8910377261.

The spelling of 825006096 in words is "eight hundred twenty-five million, six thousand, ninety-six".