84209664 has 208 divisors, whose sum is σ = 283080960. Its totient is φ = 21626880.

The previous prime is 84209663. The next prime is 84209701. The reversal of 84209664 is 46690248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84209663) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 946132 + ... + 946220.

Almost surely, 2^84209664 is an apocalyptic number.

84209664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84209664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141540480).

84209664 is an abundant number, since it is smaller than the sum of its proper divisors (198871296).

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

84209664 is a wasteful number, since it uses less digits than its factorization.

84209664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 84209664 is about 9176.5823703599. The cubic root of 84209664 is about 438.3159872401.

The spelling of 84209664 in words is "eighty-four million, two hundred nine thousand, six hundred sixty-four".