87168340 has 48 divisors (see below), whose sum is σ = 212349312. Its totient is φ = 29437056.

The previous prime is 87168331. The next prime is 87168359. The reversal of 87168340 is 4386178.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 87168340.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4734 + ... + 14026.

It is an arithmetic number, because the mean of its divisors is an integer number (4423944).

Almost surely, 2^87168340 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 87168340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106174656).

87168340 is an abundant number, since it is smaller than the sum of its proper divisors (125180972).

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

87168340 is a wasteful number, since it uses less digits than its factorization.

87168340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9376 (or 9374 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 87168340 is about 9336.3986632962. The cubic root of 87168340 is about 443.3903721186.

The spelling of 87168340 in words is "eighty-seven million, one hundred sixty-eight thousand, three hundred forty".