87444112 has 80 divisors (see below), whose sum is σ = 201828352. Its totient is φ = 35925120.

The previous prime is 87444089. The next prime is 87444127. The reversal of 87444112 is 21144478.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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, 322537 + ... + 322807.

Almost surely, 2^87444112 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 87444112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100914176).

87444112 is an abundant number, since it is smaller than the sum of its proper divisors (114384240).

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

87444112 is a wasteful number, since it uses less digits than its factorization.

87444112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 390 counting only the distinct ones).

The product of its digits is 7168, while the sum is 31.

The square root of 87444112 is about 9351.1556505065. The cubic root of 87444112 is about 443.8574603995.

The spelling of 87444112 in words is "eighty-seven million, four hundred forty-four thousand, one hundred twelve".