87131616 has 144 divisors (see below), whose sum is σ = 271211472. Its totient is φ = 24330240.

The previous prime is 87131599. The next prime is 87131617. The reversal of 87131616 is 61613178.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87131617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150720 + ... + 151296.

It is an arithmetic number, because the mean of its divisors is an integer number (1883413).

Almost surely, 2^87131616 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 87131616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135605736).

87131616 is an abundant number, since it is smaller than the sum of its proper divisors (184079856).

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

87131616 is a wasteful number, since it uses less digits than its factorization.

87131616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 606 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 87131616 is about 9334.4317448895. The cubic root of 87131616 is about 443.3280966210.

The spelling of 87131616 in words is "eighty-seven million, one hundred thirty-one thousand, six hundred sixteen".