87188724 has 120 divisors (see below), whose sum is σ = 267787520. Its totient is φ = 24214464.

The previous prime is 87188693. The next prime is 87188729. The reversal of 87188724 is 42788178.

It is a self number, because there is not a number n which added to its sum of digits gives 87188724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87188729) 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 39 ways as a sum of consecutive naturals, for example, 83397 + ... + 84435.

Almost surely, 2^87188724 is an apocalyptic number.

87188724 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 87188724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133893760).

87188724 is an abundant number, since it is smaller than the sum of its proper divisors (180598796).

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

87188724 is a wasteful number, since it uses less digits than its factorization.

87188724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1088 counting only the distinct ones).

The product of its digits is 200704, while the sum is 45.

The square root of 87188724 is about 9337.4902409588. The cubic root of 87188724 is about 443.4249311681.

The spelling of 87188724 in words is "eighty-seven million, one hundred eighty-eight thousand, seven hundred twenty-four".