84069216 has 288 divisors, whose sum is σ = 317011968. Its totient is φ = 20459520.

The previous prime is 84069203. The next prime is 84069247. The reversal of 84069216 is 61296048.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376881 + ... + 377103.

It is an arithmetic number, because the mean of its divisors is an integer number (1100736).

Almost surely, 2^84069216 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 84069216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505984).

84069216 is an abundant number, since it is smaller than the sum of its proper divisors (232942752).

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

84069216 is a wasteful number, since it uses less digits than its factorization.

84069216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 84069216 is about 9168.9266547399. The cubic root of 84069216 is about 438.0721717564.

The spelling of 84069216 in words is "eighty-four million, sixty-nine thousand, two hundred sixteen".