87825892 has 48 divisors (see below), whose sum is σ = 195729408. Its totient is φ = 33484320.

The previous prime is 87825889. The next prime is 87825917. The reversal of 87825892 is 29852878.

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, 11443 + ... + 17509.

It is an arithmetic number, because the mean of its divisors is an integer number (4077696).

Almost surely, 2^87825892 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 87825892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97864704).

87825892 is an abundant number, since it is smaller than the sum of its proper divisors (107903516).

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

87825892 is a wasteful number, since it uses less digits than its factorization.

87825892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6136 (or 6134 counting only the distinct ones).

The product of its digits is 645120, while the sum is 49.

The square root of 87825892 is about 9371.5469374058. The cubic root of 87825892 is about 444.5024814673.

The spelling of 87825892 in words is "eighty-seven million, eight hundred twenty-five thousand, eight hundred ninety-two".