87886080 has 144 divisors (see below), whose sum is σ = 311996160. Its totient is φ = 23427072.

The previous prime is 87886079. The next prime is 87886081. The reversal of 87886080 is 8068878.

It is an interprime number because it is at equal distance from previous prime (87886079) and next prime (87886081).

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 (45).

It is not an unprimeable number, because it can be changed into a prime (87886081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33289 + ... + 35831.

It is an arithmetic number, because the mean of its divisors is an integer number (2166640).

Almost surely, 2^87886080 is an apocalyptic number.

87886080 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 87886080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155998080).

87886080 is an abundant number, since it is smaller than the sum of its proper divisors (224110080).

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

87886080 is a wasteful number, since it uses less digits than its factorization.

87886080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 87886080 is about 9374.7575968662. The cubic root of 87886080 is about 444.6039990097.

The spelling of 87886080 in words is "eighty-seven million, eight hundred eighty-six thousand, eighty".