87286500 has 288 divisors, whose sum is σ = 335252736. Its totient is φ = 18662400.

The previous prime is 87286489. The next prime is 87286501. The reversal of 87286500 is 568278.

87286500 is a `hidden beast` number, since 8 + 72 + 86 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87286501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 535419 + ... + 535581.

It is an arithmetic number, because the mean of its divisors is an integer number (1164072).

Almost surely, 2^87286500 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 87286500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167626368).

87286500 is an abundant number, since it is smaller than the sum of its proper divisors (247966236).

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

87286500 is a wasteful number, since it uses less digits than its factorization.

87286500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 87286500 is about 9342.7244420458. The cubic root of 87286500 is about 443.5906258327.

The spelling of 87286500 in words is "eighty-seven million, two hundred eighty-six thousand, five hundred".