87417144 has 80 divisors (see below), whose sum is σ = 246201120. Its totient is φ = 28978560.

The previous prime is 87417137. The next prime is 87417191. The reversal of 87417144 is 44171478.

It is a super-3 number, since 3×87417144³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 87417099 and 87417108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 202609 + ... + 203039.

It is an arithmetic number, because the mean of its divisors is an integer number (3077514).

Almost surely, 2^87417144 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 87417144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123100560).

87417144 is an abundant number, since it is smaller than the sum of its proper divisors (158783976).

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

87417144 is a wasteful number, since it uses less digits than its factorization.

87417144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 749 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 87417144 is about 9349.7135785007. The cubic root of 87417144 is about 443.8118267620.

The spelling of 87417144 in words is "eighty-seven million, four hundred seventeen thousand, one hundred forty-four".