87123120 has 80 divisors (see below), whose sum is σ = 308670720. Its totient is φ = 19913472.

The previous prime is 87123107. The next prime is 87123133. The reversal of 87123120 is 2132178.

It is an interprime number because it is at equal distance from previous prime (87123107) and next prime (87123133).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 24250 + ... + 27609.

It is an arithmetic number, because the mean of its divisors is an integer number (3858384).

Almost surely, 2^87123120 is an apocalyptic number.

87123120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87123120 is an abundant number, since it is smaller than the sum of its proper divisors (221547600).

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

87123120 is a wasteful number, since it uses less digits than its factorization.

87123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51882 (or 51876 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 87123120 is about 9333.9766444962. The cubic root of 87123120 is about 443.3136868575.

Adding to 87123120 its reverse (2132178), we get a palindrome (89255298).

The spelling of 87123120 in words is "eighty-seven million, one hundred twenty-three thousand, one hundred twenty".