83515640 has 128 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 28574208.

The previous prime is 83515637. The next prime is 83515661. The reversal of 83515640 is 4651538.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 83515597 and 83515606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 780467 + ... + 780573.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^83515640 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 83515640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

83515640 is an abundant number, since it is smaller than the sum of its proper divisors (134212360).

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

83515640 is a wasteful number, since it uses less digits than its factorization.

83515640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 83515640 is about 9138.6891839038. The cubic root of 83515640 is about 437.1085194626.

The spelling of 83515640 in words is "eighty-three million, five hundred fifteen thousand, six hundred forty".