87825150 has 144 divisors (see below), whose sum is σ = 275652000. Its totient is φ = 20039040.

The previous prime is 87825107. The next prime is 87825181. The reversal of 87825150 is 5152878.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 154066 + ... + 154634.

It is an arithmetic number, because the mean of its divisors is an integer number (1914250).

Almost surely, 2^87825150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87825150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137826000).

87825150 is an abundant number, since it is smaller than the sum of its proper divisors (187826850).

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

87825150 is a wasteful number, since it uses less digits than its factorization.

87825150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 87825150 is about 9371.5073494076. The cubic root of 87825150 is about 444.5012296657.

The spelling of 87825150 in words is "eighty-seven million, eight hundred twenty-five thousand, one hundred fifty".