83435480 has 64 divisors (see below), whose sum is σ = 193881600. Its totient is φ = 32296320.

The previous prime is 83435449. The next prime is 83435483. The reversal of 83435480 is 8453438.

It is a happy number.

It is a super-2 number, since 2×83435480² = 13922958645660800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83435480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83435483) 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, 307745 + ... + 308015.

It is an arithmetic number, because the mean of its divisors is an integer number (3029400).

Almost surely, 2^83435480 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 83435480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96940800).

83435480 is an abundant number, since it is smaller than the sum of its proper divisors (110446120).

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

83435480 is a wasteful number, since it uses less digits than its factorization.

83435480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 83435480 is about 9134.3023816819. The cubic root of 83435480 is about 436.9686261637.

The spelling of 83435480 in words is "eighty-three million, four hundred thirty-five thousand, four hundred eighty".