83295240 has 256 divisors, whose sum is σ = 319334400. Its totient is φ = 16920576.

The previous prime is 83295239. The next prime is 83295253. The reversal of 83295240 is 4259238.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 271167 + ... + 271473.

It is an arithmetic number, because the mean of its divisors is an integer number (1247400).

Almost surely, 2^83295240 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 83295240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

83295240 is an abundant number, since it is smaller than the sum of its proper divisors (236039160).

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

83295240 is a wasteful number, since it uses less digits than its factorization.

83295240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 83295240 is about 9126.6225954621. The cubic root of 83295240 is about 436.7236670407.

The spelling of 83295240 in words is "eighty-three million, two hundred ninety-five thousand, two hundred forty".