84896672 has 48 divisors (see below), whose sum is σ = 194648832. Its totient is φ = 35692800.

The previous prime is 84896671. The next prime is 84896677. The reversal of 84896672 is 27669848.

It is a self number, because there is not a number n which added to its sum of digits gives 84896672.

It is not an unprimeable number, because it can be changed into a prime (84896671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8297 + ... + 15447.

It is an arithmetic number, because the mean of its divisors is an integer number (4055184).

Almost surely, 2^84896672 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 84896672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97324416).

84896672 is an abundant number, since it is smaller than the sum of its proper divisors (109752160).

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

84896672 is a wasteful number, since it uses less digits than its factorization.

84896672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7221 (or 7213 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 50.

The square root of 84896672 is about 9213.9390056588. The cubic root of 84896672 is about 439.5047319872.

The spelling of 84896672 in words is "eighty-four million, eight hundred ninety-six thousand, six hundred seventy-two".