83648500 has 96 divisors (see below), whose sum is σ = 208589472. Its totient is φ = 29030400.

The previous prime is 83648497. The next prime is 83648531. The reversal of 83648500 is 584638.

It can be written as a sum of positive squares in 16 ways, for example, as 58186384 + 25462116 = 7628^2 + 5046^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 110122 + ... + 110878.

It is an arithmetic number, because the mean of its divisors is an integer number (2172807).

Almost surely, 2^83648500 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 83648500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104294736).

83648500 is an abundant number, since it is smaller than the sum of its proper divisors (124940972).

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

83648500 is a wasteful number, since it uses less digits than its factorization.

83648500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 83648500 is about 9145.9553902258. The cubic root of 83648500 is about 437.3401865271.

It can be divided in two parts, 83648 and 500, that added together give a palindrome (84148).

The spelling of 83648500 in words is "eighty-three million, six hundred forty-eight thousand, five hundred".