83208240 has 120 divisors (see below), whose sum is σ = 281551920. Its totient is φ = 22021632.

The previous prime is 83208211. The next prime is 83208253. The reversal of 83208240 is 4280238.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×83208240² = 13847222407795200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117006 + ... + 117714.

It is an arithmetic number, because the mean of its divisors is an integer number (2346266).

Almost surely, 2^83208240 is an apocalyptic number.

83208240 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 83208240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140775960).

83208240 is an abundant number, since it is smaller than the sum of its proper divisors (198343680).

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

83208240 is a wasteful number, since it uses less digits than its factorization.

83208240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 83208240 is about 9121.8550744901. The cubic root of 83208240 is about 436.5715647316.

Adding to 83208240 its reverse (4280238), we get a palindrome (87488478).

The spelling of 83208240 in words is "eighty-three million, two hundred eight thousand, two hundred forty".