83210040 has 96 divisors (see below), whose sum is σ = 277786080. Its totient is φ = 21586176.

The previous prime is 83209993. The next prime is 83210041. The reversal of 83210040 is 4001238.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 83209995 and 83210022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83210041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10197 + ... + 16443.

It is an arithmetic number, because the mean of its divisors is an integer number (2893605).

Almost surely, 2^83210040 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 83210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138893040).

83210040 is an abundant number, since it is smaller than the sum of its proper divisors (194576040).

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

83210040 is a wasteful number, since it uses less digits than its factorization.

83210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6301 (or 6294 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 83210040 is about 9121.9537380980. The cubic root of 83210040 is about 436.5747127498.

Adding to 83210040 its reverse (4001238), we get a palindrome (87211278).

The spelling of 83210040 in words is "eighty-three million, two hundred ten thousand, forty".