87744 has 28 divisors (see below), whose sum is σ = 232664. Its totient is φ = 29184.

The previous prime is 87743. The next prime is 87751. The reversal of 87744 is 44778.

87744 = T₁₇ + T₁₈ + ... + T₈₀.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (87743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37 + ... + 420.

2⁸⁷⁷⁴⁴ 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 87744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116332).

87744 is an abundant number, since it is smaller than the sum of its proper divisors (144920).

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

87744 is a wasteful number, since it uses less digits than its factorization.

87744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 462 counting only the distinct ones).

The product of its digits is 6272, while the sum is 30.

The square root of 87744 is about 296.2161373052. The cubic root of 87744 is about 44.4364281839.

It can be divided in two parts, 8774 and 4, that added together give a palindrome (8778).

The spelling of 87744 in words is "eighty-seven thousand, seven hundred forty-four".