87413984 has 144 divisors (see below), whose sum is σ = 221211648. Its totient is φ = 33225984.

The previous prime is 87413981. The next prime is 87414043. The reversal of 87413984 is 48931478.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87413981) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1859849 + ... + 1859895.

It is an arithmetic number, because the mean of its divisors is an integer number (1536192).

Almost surely, 2^87413984 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 87413984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110605824).

87413984 is an abundant number, since it is smaller than the sum of its proper divisors (133797664).

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

87413984 is a wasteful number, since it uses less digits than its factorization.

87413984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 98 counting only the distinct ones).

The product of its digits is 193536, while the sum is 44.

The square root of 87413984 is about 9349.5445878396. The cubic root of 87413984 is about 443.8064789846.

It can be divided in two parts, 874 and 13984, that multiplied together give a square (12222016 = 3496²).

The spelling of 87413984 in words is "eighty-seven million, four hundred thirteen thousand, nine hundred eighty-four".