84442176 has 280 divisors, whose sum is σ = 309798720. Its totient is φ = 22146048.

The previous prime is 84442159. The next prime is 84442187. The reversal of 84442176 is 67124448.

It is a super-2 number, since 2×84442176² = 14260962175229952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 84442176.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 471655 + ... + 471833.

It is an arithmetic number, because the mean of its divisors is an integer number (1106424).

Almost surely, 2^84442176 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 84442176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154899360).

84442176 is an abundant number, since it is smaller than the sum of its proper divisors (225356544).

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

84442176 is a wasteful number, since it uses less digits than its factorization.

84442176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 84442176 is about 9189.2424062052. The cubic root of 84442176 is about 438.7190291529.

The spelling of 84442176 in words is "eighty-four million, four hundred forty-two thousand, one hundred seventy-six".