84998144 has 144 divisors (see below), whose sum is σ = 217854000. Its totient is φ = 33116160.

The previous prime is 84998141. The next prime is 84998183. The reversal of 84998144 is 44189948.

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 (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84998141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7727099 + ... + 7727109.

It is an arithmetic number, because the mean of its divisors is an integer number (1512875).

Almost surely, 2^84998144 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 84998144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108927000).

84998144 is an abundant number, since it is smaller than the sum of its proper divisors (132855856).

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

84998144 is an equidigital number, since it uses as much as digits as its factorization.

84998144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 20 counting only the distinct ones).

The product of its digits is 331776, while the sum is 47.

The square root of 84998144 is about 9219.4438010110. The cubic root of 84998144 is about 439.6797669902.

The spelling of 84998144 in words is "eighty-four million, nine hundred ninety-eight thousand, one hundred forty-four".