87912000 has 448 divisors, whose sum is σ = 361370880. Its totient is φ = 20736000.

The previous prime is 87911983. The next prime is 87912007. The reversal of 87912000 is 21978.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (87912007) 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 63 ways as a sum of consecutive naturals, for example, 2375982 + ... + 2376018.

Almost surely, 2^87912000 is an apocalyptic number.

87912000 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 87912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180685440).

87912000 is an abundant number, since it is smaller than the sum of its proper divisors (273458880).

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

87912000 is a wasteful number, since it uses less digits than its factorization.

87912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 87912000 is about 9376.1399306964. The cubic root of 87912000 is about 444.6477033252.

Adding to 87912000 its reverse (21978), we get a palindrome (87933978).

The spelling of 87912000 in words is "eighty-seven million, nine hundred twelve thousand".