83008340 has 36 divisors (see below), whose sum is σ = 183990996. Its totient is φ = 31453056.

The previous prime is 83008337. The next prime is 83008349. The reversal of 83008340 is 4380038.

It can be written as a sum of positive squares in 2 ways, for example, as 39790864 + 43217476 = 6308^2 + 6574^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83008349) 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, 1472 + ... + 12968.

It is an arithmetic number, because the mean of its divisors is an integer number (5110861).

Almost surely, 2^83008340 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 83008340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91995498).

83008340 is an abundant number, since it is smaller than the sum of its proper divisors (100982656).

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

83008340 is a wasteful number, since it uses less digits than its factorization.

83008340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11544 (or 11523 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 83008340 is about 9110.8912846110. The cubic root of 83008340 is about 436.2216769651.

Adding to 83008340 its reverse (4380038), we get a palindrome (87388378).

The spelling of 83008340 in words is "eighty-three million, eight thousand, three hundred forty".