87816834 has 96 divisors (see below), whose sum is σ = 226437120. Its totient is φ = 24076800.

The previous prime is 87816809. The next prime is 87816853. The reversal of 87816834 is 43861878.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (258048) is a multiple of the sum of its prime factors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 87816834.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459679 + ... + 459869.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2^87816834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87816834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

87816834 is an abundant number, since it is smaller than the sum of its proper divisors (138620286).

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

87816834 is a wasteful number, since it uses less digits than its factorization.

87816834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 333 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 87816834 is about 9371.0636536094. The cubic root of 87816834 is about 444.4871995582.

The spelling of 87816834 in words is "eighty-seven million, eight hundred sixteen thousand, eight hundred thirty-four".