87831120 has 80 divisors (see below), whose sum is σ = 293231232. Its totient is φ = 21619200.

The previous prime is 87831101. The next prime is 87831137. The reversal of 87831120 is 2113878.

It is a happy number.

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 (30).

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 15 ways as a sum of consecutive naturals, for example, 10956 + ... + 17195.

Almost surely, 2^87831120 is an apocalyptic number.

87831120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87831120 is an abundant number, since it is smaller than the sum of its proper divisors (205400112).

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

87831120 is a wasteful number, since it uses less digits than its factorization.

87831120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28180 (or 28174 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 87831120 is about 9371.8258626588. The cubic root of 87831120 is about 444.5113012387.

Adding to 87831120 its reverse (2113878), we get a palindrome (89944998).

The spelling of 87831120 in words is "eighty-seven million, eight hundred thirty-one thousand, one hundred twenty".