82098240 has 224 divisors, whose sum is σ = 314065920. Its totient is φ = 17750016.

The previous prime is 82098197. The next prime is 82098241. The reversal of 82098240 is 4289028.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×82098240² = 13480242022195200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82098241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127359 + ... + 128001.

It is an arithmetic number, because the mean of its divisors is an integer number (1402080).

Almost surely, 2^82098240 is an apocalyptic number.

82098240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157032960).

82098240 is an abundant number, since it is smaller than the sum of its proper divisors (231967680).

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

82098240 is a wasteful number, since it uses less digits than its factorization.

82098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 82098240 is about 9060.8079109978. The cubic root of 82098240 is about 434.6215760286.

The spelling of 82098240 in words is "eighty-two million, ninety-eight thousand, two hundred forty".