87841516 has 72 divisors (see below), whose sum is σ = 194258736. Its totient is φ = 34513920.

The previous prime is 87841513. The next prime is 87841549. The reversal of 87841516 is 61514878.

It is a super-3 number, since 3×87841516³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (87841513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136291 + ... + 136933.

It is an arithmetic number, because the mean of its divisors is an integer number (2698038).

Almost surely, 2^87841516 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 87841516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97129368).

87841516 is an abundant number, since it is smaller than the sum of its proper divisors (106417220).

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

87841516 is a wasteful number, since it uses less digits than its factorization.

87841516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 710 counting only the distinct ones).

The product of its digits is 53760, while the sum is 40.

The square root of 87841516 is about 9372.3804873682. The cubic root of 87841516 is about 444.5288385200.

The spelling of 87841516 in words is "eighty-seven million, eight hundred forty-one thousand, five hundred sixteen".