84934656 has 105 divisors (see below), whose sum is σ = 253755271. Its totient is φ = 28311552.

The previous prime is 84934621. The next prime is 84934757. The reversal of 84934656 is 65643948.

The square root of 84934656 is 9216.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)⁴ ⋅ (2!)⁸.

It is a Duffinian number.

Its product of digits (622080) is a multiple of the sum of its prime divisors (5).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 28311551 + 28311552 + 28311553.

Almost surely, 2^84934656 is an apocalyptic number.

84934656 is the 9216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84934656

84934656 is an abundant number, since it is smaller than the sum of its proper divisors (168820615).

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

84934656 is an frugal number, since it uses more digits than its factorization.

84934656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 5 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The cubic root of 84934656 is about 439.5702691405.

The spelling of 84934656 in words is "eighty-four million, nine hundred thirty-four thousand, six hundred fifty-six".