87835220 has 48 divisors (see below), whose sum is σ = 202583808. Its totient is φ = 31724160.

The previous prime is 87835219. The next prime is 87835289. The reversal of 87835220 is 2253878.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33269 + ... + 35811.

It is an arithmetic number, because the mean of its divisors is an integer number (4220496).

Almost surely, 2^87835220 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 87835220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101291904).

87835220 is an abundant number, since it is smaller than the sum of its proper divisors (114748588).

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

87835220 is a wasteful number, since it uses less digits than its factorization.

87835220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 87835220 is about 9372.0446008328. The cubic root of 87835220 is about 444.5182178000.

The spelling of 87835220 in words is "eighty-seven million, eight hundred thirty-five thousand, two hundred twenty".