84629448 has 80 divisors (see below), whose sum is σ = 241039260. Its totient is φ = 27734400.

The previous prime is 84629431. The next prime is 84629497. The reversal of 84629448 is 84492648.

It can be written as a sum of positive squares in 2 ways, for example, as 84603204 + 26244 = 9198^2 + 162^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 38458 + ... + 40598.

Almost surely, 2^84629448 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 84629448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120519630).

84629448 is an abundant number, since it is smaller than the sum of its proper divisors (156409812).

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

84629448 is a wasteful number, since it uses less digits than its factorization.

84629448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2207 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 84629448 is about 9199.4265038642. The cubic root of 84629448 is about 439.0431133641.

The spelling of 84629448 in words is "eighty-four million, six hundred twenty-nine thousand, four hundred forty-eight".