87230880 has 144 divisors (see below), whose sum is σ = 324795744. Its totient is φ = 21143040.

The previous prime is 87230863. The next prime is 87230911. The reversal of 87230880 is 8803278.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13087 + ... + 18593.

It is an arithmetic number, because the mean of its divisors is an integer number (2255526).

Almost surely, 2^87230880 is an apocalyptic number.

87230880 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 87230880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162397872).

87230880 is an abundant number, since it is smaller than the sum of its proper divisors (237564864).

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

87230880 is a wasteful number, since it uses less digits than its factorization.

87230880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5539 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 87230880 is about 9339.7473199225. The cubic root of 87230880 is about 443.4963853984.

The spelling of 87230880 in words is "eighty-seven million, two hundred thirty thousand, eight hundred eighty".