87446112 has 96 divisors (see below), whose sum is σ = 253380960. Its totient is φ = 26234880.

The previous prime is 87446111. The next prime is 87446129. The reversal of 87446112 is 21164478.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87446111) by changing a digit.

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, 50314 + ... + 52022.

It is an arithmetic number, because the mean of its divisors is an integer number (2639385).

Almost surely, 2^87446112 is an apocalyptic number.

87446112 is a gapful number since it is divisible by the number (82) 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 87446112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126690480).

87446112 is an abundant number, since it is smaller than the sum of its proper divisors (165934848).

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

87446112 is a wasteful number, since it uses less digits than its factorization.

87446112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1768 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 87446112 is about 9351.2625885492. The cubic root of 87446112 is about 443.8608443062.

The spelling of 87446112 in words is "eighty-seven million, four hundred forty-six thousand, one hundred twelve".