887825952 has 432 divisors, whose sum is σ = 3075476040. Its totient is φ = 241532928.

The previous prime is 887825947. The next prime is 887825993. The reversal of 887825952 is 259528788.

It can be written as a sum of positive squares in 12 ways, for example, as 128051856 + 759774096 = 11316^2 + 27564^2 .

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 71 ways as a sum of consecutive naturals, for example, 23995278 + ... + 23995314.

Almost surely, 2^887825952 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 887825952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537738020).

887825952 is an abundant number, since it is smaller than the sum of its proper divisors (2187650088).

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

887825952 is a wasteful number, since it uses less digits than its factorization.

887825952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The square root of 887825952 is about 29796.4083741648. The cubic root of 887825952 is about 961.1163056029.

The spelling of 887825952 in words is "eight hundred eighty-seven million, eight hundred twenty-five thousand, nine hundred fifty-two".