87988320 has 432 divisors, whose sum is σ = 369729360. Its totient is φ = 18966528.

The previous prime is 87988309. The next prime is 87988333. The reversal of 87988320 is 2388978.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2046219 + ... + 2046261.

It is an arithmetic number, because the mean of its divisors is an integer number (855855).

Almost surely, 2^87988320 is an apocalyptic number.

87988320 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 87988320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184864680).

87988320 is an abundant number, since it is smaller than the sum of its proper divisors (281741040).

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

87988320 is a wasteful number, since it uses less digits than its factorization.

87988320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 87988320 is about 9380.2089528965. The cubic root of 87988320 is about 444.7763383890.

The spelling of 87988320 in words is "eighty-seven million, nine hundred eighty-eight thousand, three hundred twenty".