87920 has 40 divisors (see below), whose sum is σ = 235104. Its totient is φ = 29952.

The previous prime is 87917. The next prime is 87931. The reversal of 87920 is 2978.

87920 = T₁₀₅ + T₁₀₆ + ... + T₁₁₈.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 87920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 482 + ... + 638.

2⁸⁷⁹²⁰ is an apocalyptic number.

87920 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 87920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117552).

87920 is an abundant number, since it is smaller than the sum of its proper divisors (147184).

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

87920 is a wasteful number, since it uses less digits than its factorization.

87920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 87920 is about 296.5130688519. The cubic root of 87920 is about 44.4661190577.

The spelling of 87920 in words is "eighty-seven thousand, nine hundred twenty".