87857136 has 120 divisors (see below), whose sum is σ = 259983360. Its totient is φ = 28714176.

The previous prime is 87857113. The next prime is 87857183. The reversal of 87857136 is 63175878.

87857136 is a `hidden beast` number, since 8 + 78 + 571 + 3 + 6 = 666.

It is a super-2 number, since 2×87857136² = 15437752692244992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87857091 and 87857100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229201 + ... + 229583.

It is an arithmetic number, because the mean of its divisors is an integer number (2166528).

Almost surely, 2^87857136 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 87857136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

87857136 is an abundant number, since it is smaller than the sum of its proper divisors (172126224).

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

87857136 is a wasteful number, since it uses less digits than its factorization.

87857136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 447 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 87857136 is about 9373.2137498299. The cubic root of 87857136 is about 444.5551857008. Note that the first 3 decimals are identical.

The spelling of 87857136 in words is "eighty-seven million, eight hundred fifty-seven thousand, one hundred thirty-six".