83800040 has 64 divisors (see below), whose sum is σ = 199411200. Its totient is φ = 31629312.

The previous prime is 83800033. The next prime is 83800043. The reversal of 83800040 is 4000838.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 83799979 and 83800015.

It is not an unprimeable number, because it can be changed into a prime (83800043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72104 + ... + 73256.

It is an arithmetic number, because the mean of its divisors is an integer number (3115800).

Almost surely, 2^83800040 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 83800040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99705600).

83800040 is an abundant number, since it is smaller than the sum of its proper divisors (115611160).

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

83800040 is a wasteful number, since it uses less digits than its factorization.

83800040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 83800040 is about 9154.2361778578. The cubic root of 83800040 is about 437.6041265081.

Adding to 83800040 its reverse (4000838), we get a palindrome (87800878).

The spelling of 83800040 in words is "eighty-three million, eight hundred thousand, forty".