87106880 has 112 divisors (see below), whose sum is σ = 243693696. Its totient is φ = 29030400.

The previous prime is 87106871. The next prime is 87106889. The reversal of 87106880 is 8860178.

It is an interprime number because it is at equal distance from previous prime (87106871) and next prime (87106889).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87106889) 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, 82355 + ... + 83405.

Almost surely, 2^87106880 is an apocalyptic number.

87106880 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 87106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121846848).

87106880 is an abundant number, since it is smaller than the sum of its proper divisors (156586816).

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

87106880 is a wasteful number, since it uses less digits than its factorization.

87106880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 38.

The square root of 87106880 is about 9333.1066639142. The cubic root of 87106880 is about 443.2861401640.

The spelling of 87106880 in words is "eighty-seven million, one hundred six thousand, eight hundred eighty".