87441768 has 80 divisors (see below), whose sum is σ = 255610080. Its totient is φ = 27875232.

The previous prime is 87441763. The next prime is 87441803. The reversal of 87441768 is 86714478.

It is not an unprimeable number, because it can be changed into a prime (87441763) 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 19 ways as a sum of consecutive naturals, for example, 11971 + ... + 17837.

It is an arithmetic number, because the mean of its divisors is an integer number (3195126).

Almost surely, 2^87441768 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 87441768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127805040).

87441768 is an abundant number, since it is smaller than the sum of its proper divisors (168168312).

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

87441768 is a wasteful number, since it uses less digits than its factorization.

87441768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5908 (or 5895 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 87441768 is about 9351.0303175639. The cubic root of 87441768 is about 443.8534943951.

It can be divided in two parts, 87441 and 768, that added together give a square (88209 = 297²).

The spelling of 87441768 in words is "eighty-seven million, four hundred forty-one thousand, seven hundred sixty-eight".