87138324 has 144 divisors (see below), whose sum is σ = 275836288. Its totient is φ = 22581504.

The previous prime is 87138323. The next prime is 87138341. The reversal of 87138324 is 42383178.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87138323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219294 + ... + 219690.

Almost surely, 2^87138324 is an apocalyptic number.

87138324 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 87138324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137918144).

87138324 is an abundant number, since it is smaller than the sum of its proper divisors (188697964).

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

87138324 is a wasteful number, since it uses less digits than its factorization.

87138324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 489 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 87138324 is about 9334.7910528303. The cubic root of 87138324 is about 443.3394731595.

The spelling of 87138324 in words is "eighty-seven million, one hundred thirty-eight thousand, three hundred twenty-four".