83808810 has 192 divisors, whose sum is σ = 257385600. Its totient is φ = 19284480.

The previous prime is 83808749. The next prime is 83808859. The reversal of 83808810 is 1880838.

It is a super-2 number, since 2×83808810² = 14047833267232200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2703495 + ... + 2703525.

It is an arithmetic number, because the mean of its divisors is an integer number (1340550).

Almost surely, 2^83808810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83808810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128692800).

83808810 is an abundant number, since it is smaller than the sum of its proper divisors (173576790).

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

83808810 is a wasteful number, since it uses less digits than its factorization.

83808810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 83808810 is about 9154.7151785296. The cubic root of 83808810 is about 437.6193916333.

The spelling of 83808810 in words is "eighty-three million, eight hundred eight thousand, eight hundred ten".