87916914 has 48 divisors (see below), whose sum is σ = 207960480. Its totient is φ = 27760320.

The previous prime is 87916909. The next prime is 87916919. The reversal of 87916914 is 41961978.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87916909) and next prime (87916919).

It is a self number, because there is not a number n which added to its sum of digits gives 87916914.

It is not an unprimeable number, because it can be changed into a prime (87916919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4474 + ... + 13994.

It is an arithmetic number, because the mean of its divisors is an integer number (4332510).

Almost surely, 2^87916914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87916914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103980240).

87916914 is an abundant number, since it is smaller than the sum of its proper divisors (120043566).

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

87916914 is a wasteful number, since it uses less digits than its factorization.

87916914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9557 (or 9545 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 87916914 is about 9376.4019751715. The cubic root of 87916914 is about 444.6559879663.

The spelling of 87916914 in words is "eighty-seven million, nine hundred sixteen thousand, nine hundred fourteen".