83205408 has 288 divisors, whose sum is σ = 281534400. Its totient is φ = 21288960.

The previous prime is 83205391. The next prime is 83205449. The reversal of 83205408 is 80450238.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2869138 + ... + 2869166.

It is an arithmetic number, because the mean of its divisors is an integer number (977550).

Almost surely, 2^83205408 is an apocalyptic number.

83205408 is a gapful number since it is divisible by the number (88) 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 83205408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140767200).

83205408 is an abundant number, since it is smaller than the sum of its proper divisors (198328992).

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

83205408 is a wasteful number, since it uses less digits than its factorization.

83205408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 83205408 is about 9121.6998415865. The cubic root of 83205408 is about 436.5666117578.

The spelling of 83205408 in words is "eighty-three million, two hundred five thousand, four hundred eight".