87393900 has 144 divisors (see below), whose sum is σ = 280482048. Its totient is φ = 20832000.

The previous prime is 87393871. The next prime is 87393947. The reversal of 87393900 is 939378.

It is a happy number.

It is a super-3 number, since 3×87393900³ (a number of 25 digits) contains 333 as substring.

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, 234114 + ... + 234486.

It is an arithmetic number, because the mean of its divisors is an integer number (1947792).

Almost surely, 2^87393900 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 87393900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140241024).

87393900 is an abundant number, since it is smaller than the sum of its proper divisors (193088148).

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

87393900 is a wasteful number, since it uses less digits than its factorization.

87393900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 87393900 is about 9348.4704631292. The cubic root of 87393900 is about 443.7724871234.

The spelling of 87393900 in words is "eighty-seven million, three hundred ninety-three thousand, nine hundred".