87936000 has 176 divisors, whose sum is σ = 293785440. Its totient is φ = 23347200.

The previous prime is 87935999. The next prime is 87936001. The reversal of 87936000 is 63978.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87935999) and next prime (87936001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87936001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383886 + ... + 384114.

Almost surely, 2^87936000 is an apocalyptic number.

87936000 is a gapful number since it is divisible by the number (80) 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 87936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146892720).

87936000 is an abundant number, since it is smaller than the sum of its proper divisors (205849440).

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

87936000 is a wasteful number, since it uses less digits than its factorization.

87936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 87936000 is about 9377.4196877393. The cubic root of 87936000 is about 444.6881626251.

Adding to 87936000 its reverse (63978), we get a palindrome (87999978).

The spelling of 87936000 in words is "eighty-seven million, nine hundred thirty-six thousand".