87852810 has 48 divisors (see below), whose sum is σ = 214632288. Its totient is φ = 23014080.

The previous prime is 87852769. The next prime is 87852811. The reversal of 87852810 is 1825878.

It is a super-2 number, since 2×87852810² = 15436232449792200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (87852811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111237 + ... + 112023.

It is an arithmetic number, because the mean of its divisors is an integer number (4471506).

Almost surely, 2^87852810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87852810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107316144).

87852810 is an abundant number, since it is smaller than the sum of its proper divisors (126779478).

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

87852810 is a wasteful number, since it uses less digits than its factorization.

87852810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 87852810 is about 9372.9829830209. The cubic root of 87852810 is about 444.5478890926.

The spelling of 87852810 in words is "eighty-seven million, eight hundred fifty-two thousand, eight hundred ten".