87067120 has 160 divisors (see below), whose sum is σ = 249984000. Its totient is φ = 28111104.

The previous prime is 87067117. The next prime is 87067153. The reversal of 87067120 is 2176078.

87067120 = 323² + 324² + ... + 665².

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 521277 + ... + 521443.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2^87067120 is an apocalyptic number.

87067120 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 87067120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992000).

87067120 is an abundant number, since it is smaller than the sum of its proper divisors (162916880).

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

87067120 is a wasteful number, since it uses less digits than its factorization.

87067120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 87067120 is about 9330.9763690624. The cubic root of 87067120 is about 443.2186838036.

The spelling of 87067120 in words is "eighty-seven million, sixty-seven thousand, one hundred twenty".