87444 has 36 divisors (see below), whose sum is σ = 253344. Its totient is φ = 24912.

The previous prime is 87443. The next prime is 87473. The reversal of 87444 is 44478.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79 + ... + 425.

2⁸⁷⁴⁴⁴ is an apocalyptic number.

87444 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126672).

87444 is an abundant number, since it is smaller than the sum of its proper divisors (165900).

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

87444 is a wasteful number, since it uses less digits than its factorization.

87444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 359 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 87444 is about 295.7093167284. The cubic root of 87444 is about 44.3857270899.

The spelling of 87444 in words is "eighty-seven thousand, four hundred forty-four".