82398672 has 60 divisors (see below), whose sum is σ = 231397764. Its totient is φ = 27371520.

The previous prime is 82398671. The next prime is 82398703. The reversal of 82398672 is 27689328.

It can be written as a sum of positive squares in 2 ways, for example, as 48944016 + 33454656 = 6996^2 + 5784^2 .

It is a super-2 number, since 2×82398672² = 13579082294727168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82398671) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 50022 + ... + 51642.

Almost surely, 2^82398672 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 82398672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115698882).

82398672 is an abundant number, since it is smaller than the sum of its proper divisors (148999092).

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

82398672 is a wasteful number, since it uses less digits than its factorization.

82398672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1979 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 82398672 is about 9077.3714256937. The cubic root of 82398672 is about 435.1510850534.

The spelling of 82398672 in words is "eighty-two million, three hundred ninety-eight thousand, six hundred seventy-two".