87816768 has 112 divisors (see below), whose sum is σ = 252959616. Its totient is φ = 26726400.

The previous prime is 87816749. The next prime is 87816787. The reversal of 87816768 is 86761878.

It is an interprime number because it is at equal distance from previous prime (87816749) and next prime (87816787).

It is a self number, because there is not a number n which added to its sum of digits gives 87816768.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376780 + ... + 377012.

It is an arithmetic number, because the mean of its divisors is an integer number (2258568).

Almost surely, 2^87816768 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 87816768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126479808).

87816768 is an abundant number, since it is smaller than the sum of its proper divisors (165142848).

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

87816768 is a wasteful number, since it uses less digits than its factorization.

87816768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 402 counting only the distinct ones).

The product of its digits is 903168, while the sum is 51.

The square root of 87816768 is about 9371.0601321302. The cubic root of 87816768 is about 444.4870882046.

The spelling of 87816768 in words is "eighty-seven million, eight hundred sixteen thousand, seven hundred sixty-eight".