83033040 has 160 divisors (see below), whose sum is σ = 274982400. Its totient is φ = 20666880.

The previous prime is 83032997. The next prime is 83033051. The reversal of 83033040 is 4033038.

It is a junction number, because it is equal to n+sod(n) for n = 83032998 and 83033016.

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, 597291 + ... + 597429.

It is an arithmetic number, because the mean of its divisors is an integer number (1718640).

Almost surely, 2^83033040 is an apocalyptic number.

83033040 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 83033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137491200).

83033040 is an abundant number, since it is smaller than the sum of its proper divisors (191949360).

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

83033040 is a wasteful number, since it uses less digits than its factorization.

83033040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 83033040 is about 9112.2467042986. The cubic root of 83033040 is about 436.2649401155.

Adding to 83033040 its reverse (4033038), we get a palindrome (87066078).

The spelling of 83033040 in words is "eighty-three million, thirty-three thousand, forty".