83405808 has 160 divisors (see below), whose sum is σ = 260608320. Its totient is φ = 25436160.

The previous prime is 83405783. The next prime is 83405813. The reversal of 83405808 is 80850438.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 300966 + ... + 301242.

It is an arithmetic number, because the mean of its divisors is an integer number (1628802).

Almost surely, 2^83405808 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 83405808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130304160).

83405808 is an abundant number, since it is smaller than the sum of its proper divisors (177202512).

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

83405808 is a wasteful number, since it uses less digits than its factorization.

83405808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 83405808 is about 9132.6780300195. The cubic root of 83405808 is about 436.9168205835.

The spelling of 83405808 in words is "eighty-three million, four hundred five thousand, eight hundred eight".