87122160 has 120 divisors (see below), whose sum is σ = 305364384. Its totient is φ = 22218240.

The previous prime is 87122153. The next prime is 87122219. The reversal of 87122160 is 6122178.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13930 + ... + 19190.

Almost surely, 2^87122160 is an apocalyptic number.

87122160 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 87122160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152682192).

87122160 is an abundant number, since it is smaller than the sum of its proper divisors (218242224).

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

87122160 is a wasteful number, since it uses less digits than its factorization.

87122160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5303 (or 5294 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 87122160 is about 9333.9252193276. The cubic root of 87122160 is about 443.3120585767.

The spelling of 87122160 in words is "eighty-seven million, one hundred twenty-two thousand, one hundred sixty".