84066336 has 144 divisors (see below), whose sum is σ = 261424800. Its totient is φ = 26500608.

The previous prime is 84066329. The next prime is 84066347. The reversal of 84066336 is 63366048.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 84066336.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147460 + ... + 148028.

It is an arithmetic number, because the mean of its divisors is an integer number (1815450).

Almost surely, 2^84066336 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 84066336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130712400).

84066336 is an abundant number, since it is smaller than the sum of its proper divisors (177358464).

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

84066336 is a wasteful number, since it uses less digits than its factorization.

84066336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 84066336 is about 9168.7696012060. The cubic root of 84066336 is about 438.0671692822.

It can be divided in two parts, 840 and 66336, that added together give a palindrome (67176).

The spelling of 84066336 in words is "eighty-four million, sixty-six thousand, three hundred thirty-six".