84397248 has 252 divisors, whose sum is σ = 285399480. Its totient is φ = 24440832.

The previous prime is 84397241. The next prime is 84397277. The reversal of 84397248 is 84279348.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Smith number, since the sum of its digits (45) 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 (84397241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4964536 + ... + 4964552.

Almost surely, 2^84397248 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 84397248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142699740).

84397248 is an abundant number, since it is smaller than the sum of its proper divisors (201002232).

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

84397248 is a wasteful number, since it uses less digits than its factorization.

84397248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 35 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 84397248 is about 9186.7974833453. The cubic root of 84397248 is about 438.6412075940.

The spelling of 84397248 in words is "eighty-four million, three hundred ninety-seven thousand, two hundred forty-eight".