84435472 has 80 divisors (see below), whose sum is σ = 188023680. Its totient is φ = 36377600.

The previous prime is 84435451. The next prime is 84435473. The reversal of 84435472 is 27453448.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (84435473) 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, 362268 + ... + 362500.

It is an arithmetic number, because the mean of its divisors is an integer number (2350296).

Almost surely, 2^84435472 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 84435472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94011840).

84435472 is an abundant number, since it is smaller than the sum of its proper divisors (103588208).

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

84435472 is a wasteful number, since it uses less digits than its factorization.

84435472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its digits is 107520, while the sum is 37.

The square root of 84435472 is about 9188.8776246068. The cubic root of 84435472 is about 438.7074186428.

The spelling of 84435472 in words is "eighty-four million, four hundred thirty-five thousand, four hundred seventy-two".