87282416 has 50 divisors (see below), whose sum is σ = 184160832. Its totient is φ = 40073280.

The previous prime is 87282353. The next prime is 87282449. The reversal of 87282416 is 61428278.

It is a self number, because there is not a number n which added to its sum of digits gives 87282416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 456881 + ... + 457071.

Almost surely, 2^87282416 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 87282416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92080416).

87282416 is an abundant number, since it is smaller than the sum of its proper divisors (96878416).

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

87282416 is an equidigital number, since it uses as much as digits as its factorization.

87282416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 206 counting only the distinct ones).

The product of its digits is 43008, while the sum is 38.

The square root of 87282416 is about 9342.5058736936. The cubic root of 87282416 is about 443.5837074189.

The spelling of 87282416 in words is "eighty-seven million, two hundred eighty-two thousand, four hundred sixteen".