87861852 has 144 divisors (see below), whose sum is σ = 258978720. Its totient is φ = 24883200.

The previous prime is 87861841. The next prime is 87861853. The reversal of 87861852 is 25816878.

It is a junction number, because it is equal to n+sod(n) for n = 87861798 and 87861807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87861853) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364452 + ... + 364692.

Almost surely, 2^87861852 is an apocalyptic number.

87861852 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87861852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129489360).

87861852 is an abundant number, since it is smaller than the sum of its proper divisors (171116868).

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

87861852 is a wasteful number, since it uses less digits than its factorization.

87861852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 319 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 87861852 is about 9373.4653143861. The cubic root of 87861852 is about 444.5631398441.

The spelling of 87861852 in words is "eighty-seven million, eight hundred sixty-one thousand, eight hundred fifty-two".