87150840 has 192 divisors, whose sum is σ = 318297600. Its totient is φ = 18696192.

The previous prime is 87150839. The next prime is 87150851. The reversal of 87150840 is 4805178.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 242581 + ... + 242939.

It is an arithmetic number, because the mean of its divisors is an integer number (1657800).

Almost surely, 2^87150840 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 87150840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159148800).

87150840 is an abundant number, since it is smaller than the sum of its proper divisors (231146760).

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

87150840 is a wasteful number, since it uses less digits than its factorization.

87150840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 87150840 is about 9335.4614240540. The cubic root of 87150840 is about 443.3606983065.

It can be divided in two parts, 87150 and 840, that added together give a triangular number (87990 = T₄₁₉).

The spelling of 87150840 in words is "eighty-seven million, one hundred fifty thousand, eight hundred forty".