84238344 has 96 divisors (see below), whose sum is σ = 237357120. Its totient is φ = 26967168.

The previous prime is 84238331. The next prime is 84238367. The reversal of 84238344 is 44383248.

84238344 is a `hidden beast` number, since 84 + 238 + 344 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 junction number, because it is equal to n+sod(n) for n = 84238299 and 84238308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274239 + ... + 274545.

It is an arithmetic number, because the mean of its divisors is an integer number (2472470).

Almost surely, 2^84238344 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 84238344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118678560).

84238344 is an abundant number, since it is smaller than the sum of its proper divisors (153118776).

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

84238344 is a wasteful number, since it uses less digits than its factorization.

84238344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 452 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 84238344 is about 9178.1449106015. The cubic root of 84238344 is about 438.3657419241.

The spelling of 84238344 in words is "eighty-four million, two hundred thirty-eight thousand, three hundred forty-four".