87212112 has 80 divisors (see below), whose sum is σ = 244359360. Its totient is φ = 26802048.

The previous prime is 87212107. The next prime is 87212143. The reversal of 87212112 is 21121278.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105043 + ... + 105869.

It is an arithmetic number, because the mean of its divisors is an integer number (3054492).

Almost surely, 2^87212112 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 87212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122179680).

87212112 is an abundant number, since it is smaller than the sum of its proper divisors (157147248).

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

87212112 is a wasteful number, since it uses less digits than its factorization.

87212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 845 counting only the distinct ones).

The product of its digits is 448, while the sum is 24.

The square root of 87212112 is about 9338.7425277711. The cubic root of 87212112 is about 443.4645765665.

The spelling of 87212112 in words is "eighty-seven million, two hundred twelve thousand, one hundred twelve".