84289248 has 120 divisors (see below), whose sum is σ = 256132800. Its totient is φ = 27164160.

The previous prime is 84289237. The next prime is 84289253. The reversal of 84289248 is 84298248.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 79828 + ... + 80876.

It is an arithmetic number, because the mean of its divisors is an integer number (2134440).

Almost surely, 2^84289248 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 84289248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128066400).

84289248 is an abundant number, since it is smaller than the sum of its proper divisors (171843552).

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

84289248 is a wasteful number, since it uses less digits than its factorization.

84289248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1085 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 84289248 is about 9180.9176011987. The cubic root of 84289248 is about 438.4540234808.

The spelling of 84289248 in words is "eighty-four million, two hundred eighty-nine thousand, two hundred forty-eight".