84057216 has 128 divisors (see below), whose sum is σ = 241617600. Its totient is φ = 25804800.

The previous prime is 84057209. The next prime is 84057227. The reversal of 84057216 is 61275048.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298996 + ... + 299276.

Almost surely, 2^84057216 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 84057216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120808800).

84057216 is an abundant number, since it is smaller than the sum of its proper divisors (157560384).

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

84057216 is a wasteful number, since it uses less digits than its factorization.

84057216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 84057216 is about 9168.2722472667. The cubic root of 84057216 is about 438.0513273600.

The spelling of 84057216 in words is "eighty-four million, fifty-seven thousand, two hundred sixteen".