87412512 has 192 divisors, whose sum is σ = 269982720. Its totient is φ = 24499200.

The previous prime is 87412511. The next prime is 87412517. The reversal of 87412512 is 21521478.

It is a self number, because there is not a number n which added to its sum of digits gives 87412512.

It is not an unprimeable number, because it can be changed into a prime (87412511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1432962 + ... + 1433022.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 2^87412512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87412512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991360).

87412512 is an abundant number, since it is smaller than the sum of its proper divisors (182570208).

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

87412512 is a wasteful number, since it uses less digits than its factorization.

87412512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 87412512 is about 9349.4658670964. The cubic root of 87412512 is about 443.8039878241.

The spelling of 87412512 in words is "eighty-seven million, four hundred twelve thousand, five hundred twelve".