82398144 has 112 divisors (see below), whose sum is σ = 232915968. Its totient is φ = 25648128.

The previous prime is 82398137. The next prime is 82398157. The reversal of 82398144 is 44189328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207354 + ... + 207750.

Almost surely, 2^82398144 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 82398144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116457984).

82398144 is an abundant number, since it is smaller than the sum of its proper divisors (150517824).

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

82398144 is a wasteful number, since it uses less digits than its factorization.

82398144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 472 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 82398144 is about 9077.3423423379. The cubic root of 82398144 is about 435.1501555876.

The spelling of 82398144 in words is "eighty-two million, three hundred ninety-eight thousand, one hundred forty-four".