87282846 has 80 divisors (see below), whose sum is σ = 235340160. Its totient is φ = 23619600.

The previous prime is 87282829. The next prime is 87282847. The reversal of 87282846 is 64828278.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87282847) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19521 + ... + 23571.

It is an arithmetic number, because the mean of its divisors is an integer number (2941752).

Almost surely, 2^87282846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87282846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117670080).

87282846 is an abundant number, since it is smaller than the sum of its proper divisors (148057314).

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

87282846 is a wasteful number, since it uses less digits than its factorization.

87282846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4091 (or 4082 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 87282846 is about 9342.5288867629. The cubic root of 87282846 is about 443.5844358615.

The spelling of 87282846 in words is "eighty-seven million, two hundred eighty-two thousand, eight hundred forty-six".