83071040 has 112 divisors (see below), whose sum is σ = 224454720. Its totient is φ = 29030400.

The previous prime is 83071033. The next prime is 83071049. The reversal of 83071040 is 4017038.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 83070997 and 83071015.

It is not an unprimeable number, because it can be changed into a prime (83071049) 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, 78515 + ... + 79565.

It is an arithmetic number, because the mean of its divisors is an integer number (2004060).

Almost surely, 2^83071040 is an apocalyptic number.

83071040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112227360).

83071040 is an abundant number, since it is smaller than the sum of its proper divisors (141383680).

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

83071040 is a wasteful number, since it uses less digits than its factorization.

83071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 83071040 is about 9114.3315717610. The cubic root of 83071040 is about 436.3314820583.

Adding to 83071040 its reverse (4017038), we get a palindrome (87088078).

The spelling of 83071040 in words is "eighty-three million, seventy-one thousand, forty".