84383376 has 240 divisors, whose sum is σ = 292362240. Its totient is φ = 20367360.

The previous prime is 84383357. The next prime is 84383399. The reversal of 84383376 is 67338348.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 1068105 + ... + 1068183.

It is an arithmetic number, because the mean of its divisors is an integer number (1218176).

Almost surely, 2^84383376 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 84383376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146181120).

84383376 is an abundant number, since it is smaller than the sum of its proper divisors (207978864).

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

84383376 is a wasteful number, since it uses less digits than its factorization.

84383376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 84383376 is about 9186.0424558131. The cubic root of 84383376 is about 438.6171737762.

The spelling of 84383376 in words is "eighty-four million, three hundred eighty-three thousand, three hundred seventy-six".